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Finding the Fourth Proportional to 17,665.13, 24,378.06 and 9,707.15

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Solution

The fourth proportional to 17,665.13, 24,378.06 and 9,707.15 is: 13,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.13 : 24,378.06 = 9,707.15 : x
  2. Step 2: Convert to fraction form
    17,665.13/24,378.06 = 9,707.15/x
  3. Step 3: Cross multiply
    17,665.13x = 24,378.06 × 9,707.15
  4. Step 4: Simplify right side
    17,665.13x = 236,641,363.24
  5. Step 5: Solve for x
    x = 236,641,363.24/17,665.13
  6. Step 6: Final answer
    x = 13,395.96

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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.