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Finding the Fourth Proportional to 17,737.68, 24,478.20 and 9,779.52

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Solution

The fourth proportional to 17,737.68, 24,478.20 and 9,779.52 is: 13,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.68 : 24,478.20 = 9,779.52 : x
  2. Step 2: Convert to fraction form
    17,737.68/24,478.20 = 9,779.52/x
  3. Step 3: Cross multiply
    17,737.68x = 24,478.20 × 9,779.52
  4. Step 4: Simplify right side
    17,737.68x = 239,385,046.46
  5. Step 5: Solve for x
    x = 239,385,046.46/17,737.68
  6. Step 6: Final answer
    x = 13,495.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.