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Finding the Fourth Proportional to 17,737.64, 24,478.12 and 9,780.14

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Solution

The fourth proportional to 17,737.64, 24,478.12 and 9,780.14 is: 13,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.64 : 24,478.12 = 9,780.14 : x
  2. Step 2: Convert to fraction form
    17,737.64/24,478.12 = 9,780.14/x
  3. Step 3: Cross multiply
    17,737.64x = 24,478.12 × 9,780.14
  4. Step 4: Simplify right side
    17,737.64x = 239,399,440.54
  5. Step 5: Solve for x
    x = 239,399,440.54/17,737.64
  6. Step 6: Final answer
    x = 13,496.69

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