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Finding the Fourth Proportional to 24,467.60, 36,699.72 and 6,939.20

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Solution

The fourth proportional to 24,467.60, 36,699.72 and 6,939.20 is: 10,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.60 : 36,699.72 = 6,939.20 : x
  2. Step 2: Convert to fraction form
    24,467.60/36,699.72 = 6,939.20/x
  3. Step 3: Cross multiply
    24,467.60x = 36,699.72 × 6,939.20
  4. Step 4: Simplify right side
    24,467.60x = 254,666,697.02
  5. Step 5: Solve for x
    x = 254,666,697.02/24,467.60
  6. Step 6: Final answer
    x = 10,408.32

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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.