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Finding the Fourth Proportional to 24,711.71, 34,102.23 and 13,381.34

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Solution

The fourth proportional to 24,711.71, 34,102.23 and 13,381.34 is: 18,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.71 : 34,102.23 = 13,381.34 : x
  2. Step 2: Convert to fraction form
    24,711.71/34,102.23 = 13,381.34/x
  3. Step 3: Cross multiply
    24,711.71x = 34,102.23 × 13,381.34
  4. Step 4: Simplify right side
    24,711.71x = 456,333,534.39
  5. Step 5: Solve for x
    x = 456,333,534.39/24,711.71
  6. Step 6: Final answer
    x = 18,466.29

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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.