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Finding the Fourth Proportional to 17,747.10, 24,491.16 and 9,789.12

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Solution

The fourth proportional to 17,747.10, 24,491.16 and 9,789.12 is: 13,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.10 : 24,491.16 = 9,789.12 : x
  2. Step 2: Convert to fraction form
    17,747.10/24,491.16 = 9,789.12/x
  3. Step 3: Cross multiply
    17,747.10x = 24,491.16 × 9,789.12
  4. Step 4: Simplify right side
    17,747.10x = 239,746,904.18
  5. Step 5: Solve for x
    x = 239,746,904.18/17,747.10
  6. Step 6: Final answer
    x = 13,509.07

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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.