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Finding the Fourth Proportional to 27,531.29, 41,291.88 and 12,534.86

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Solution

The fourth proportional to 27,531.29, 41,291.88 and 12,534.86 is: 18,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,531.29 : 41,291.88 = 12,534.86 : x
  2. Step 2: Convert to fraction form
    27,531.29/41,291.88 = 12,534.86/x
  3. Step 3: Cross multiply
    27,531.29x = 41,291.88 × 12,534.86
  4. Step 4: Simplify right side
    27,531.29x = 517,587,728.48
  5. Step 5: Solve for x
    x = 517,587,728.48/27,531.29
  6. Step 6: Final answer
    x = 18,799.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.