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Finding the Fourth Proportional to 24,680, 34,058.27 and 13,349.41

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Solution

The fourth proportional to 24,680, 34,058.27 and 13,349.41 is: 18,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,680 : 34,058.27 = 13,349.41 : x
  2. Step 2: Convert to fraction form
    24,680/34,058.27 = 13,349.41/x
  3. Step 3: Cross multiply
    24,680x = 34,058.27 × 13,349.41
  4. Step 4: Simplify right side
    24,680x = 454,657,810.12
  5. Step 5: Solve for x
    x = 454,657,810.12/24,680
  6. Step 6: Final answer
    x = 18,422.12

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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.