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Finding the Fourth Proportional to 17,665.12, 24,377.96 and 9,707.16

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Solution

The fourth proportional to 17,665.12, 24,377.96 and 9,707.16 is: 13,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.12 : 24,377.96 = 9,707.16 : x
  2. Step 2: Convert to fraction form
    17,665.12/24,377.96 = 9,707.16/x
  3. Step 3: Cross multiply
    17,665.12x = 24,377.96 × 9,707.16
  4. Step 4: Simplify right side
    17,665.12x = 236,640,758.19
  5. Step 5: Solve for x
    x = 236,640,758.19/17,665.12
  6. Step 6: Final answer
    x = 13,395.93

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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.