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Finding the Fourth Proportional to 17,663.79, 24,376.17 and 9,706.15

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Solution

The fourth proportional to 17,663.79, 24,376.17 and 9,706.15 is: 13,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.79 : 24,376.17 = 9,706.15 : x
  2. Step 2: Convert to fraction form
    17,663.79/24,376.17 = 9,706.15/x
  3. Step 3: Cross multiply
    17,663.79x = 24,376.17 × 9,706.15
  4. Step 4: Simplify right side
    17,663.79x = 236,598,762.45
  5. Step 5: Solve for x
    x = 236,598,762.45/17,663.79
  6. Step 6: Final answer
    x = 13,394.56

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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.