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Finding the Fourth Proportional to 27,425.72, 41,140.50 and 13,571

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Solution

The fourth proportional to 27,425.72, 41,140.50 and 13,571 is: 20,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.72 : 41,140.50 = 13,571 : x
  2. Step 2: Convert to fraction form
    27,425.72/41,140.50 = 13,571/x
  3. Step 3: Cross multiply
    27,425.72x = 41,140.50 × 13,571
  4. Step 4: Simplify right side
    27,425.72x = 558,317,725.50
  5. Step 5: Solve for x
    x = 558,317,725.50/27,425.72
  6. Step 6: Final answer
    x = 20,357.45

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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.