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Finding the Fourth Proportional to 17,737.86, 24,478.45 and 9,780.38

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Solution

The fourth proportional to 17,737.86, 24,478.45 and 9,780.38 is: 13,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.86 : 24,478.45 = 9,780.38 : x
  2. Step 2: Convert to fraction form
    17,737.86/24,478.45 = 9,780.38/x
  3. Step 3: Cross multiply
    17,737.86x = 24,478.45 × 9,780.38
  4. Step 4: Simplify right side
    17,737.86x = 239,408,542.81
  5. Step 5: Solve for x
    x = 239,408,542.81/17,737.86
  6. Step 6: Final answer
    x = 13,497.04

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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.