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Finding the Fourth Proportional to 17,102.71, 23,605.68 and 10,031.41

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Solution

The fourth proportional to 17,102.71, 23,605.68 and 10,031.41 is: 13,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.71 : 23,605.68 = 10,031.41 : x
  2. Step 2: Convert to fraction form
    17,102.71/23,605.68 = 10,031.41/x
  3. Step 3: Cross multiply
    17,102.71x = 23,605.68 × 10,031.41
  4. Step 4: Simplify right side
    17,102.71x = 236,798,265.11
  5. Step 5: Solve for x
    x = 236,798,265.11/17,102.71
  6. Step 6: Final answer
    x = 13,845.66

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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.