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Finding the Fourth Proportional to 17,802.92, 24,565.83 and 9,845.30

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Solution

The fourth proportional to 17,802.92, 24,565.83 and 9,845.30 is: 13,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.92 : 24,565.83 = 9,845.30 : x
  2. Step 2: Convert to fraction form
    17,802.92/24,565.83 = 9,845.30/x
  3. Step 3: Cross multiply
    17,802.92x = 24,565.83 × 9,845.30
  4. Step 4: Simplify right side
    17,802.92x = 241,857,966.10
  5. Step 5: Solve for x
    x = 241,857,966.10/17,802.92
  6. Step 6: Final answer
    x = 13,585.30

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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.