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Finding the Fourth Proportional to 17,538.61, 24,204.27 and 9,580.97

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Solution

The fourth proportional to 17,538.61, 24,204.27 and 9,580.97 is: 13,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.61 : 24,204.27 = 9,580.97 : x
  2. Step 2: Convert to fraction form
    17,538.61/24,204.27 = 9,580.97/x
  3. Step 3: Cross multiply
    17,538.61x = 24,204.27 × 9,580.97
  4. Step 4: Simplify right side
    17,538.61x = 231,900,384.74
  5. Step 5: Solve for x
    x = 231,900,384.74/17,538.61
  6. Step 6: Final answer
    x = 13,222.28

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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.