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Finding the Fourth Proportional to 16,562.40, 24,835.05 and 4,874.10

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Solution

The fourth proportional to 16,562.40, 24,835.05 and 4,874.10 is: 7,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.40 : 24,835.05 = 4,874.10 : x
  2. Step 2: Convert to fraction form
    16,562.40/24,835.05 = 4,874.10/x
  3. Step 3: Cross multiply
    16,562.40x = 24,835.05 × 4,874.10
  4. Step 4: Simplify right side
    16,562.40x = 121,048,517.21
  5. Step 5: Solve for x
    x = 121,048,517.21/16,562.40
  6. Step 6: Final answer
    x = 7,308.63

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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.