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Finding the Fourth Proportional to 16,442,978.40, 24,664,467.60 and 5,084,575.20

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Solution

The fourth proportional to 16,442,978.40, 24,664,467.60 and 5,084,575.20 is: 7,626,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442,978.40 : 24,664,467.60 = 5,084,575.20 : x
  2. Step 2: Convert to fraction form
    16,442,978.40/24,664,467.60 = 5,084,575.20/x
  3. Step 3: Cross multiply
    16,442,978.40x = 24,664,467.60 × 5,084,575.20
  4. Step 4: Simplify right side
    16,442,978.40x = 125,408,340,280,163.53
  5. Step 5: Solve for x
    x = 125,408,340,280,163.53/16,442,978.40
  6. Step 6: Final answer
    x = 7,626,862.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.