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Finding the Fourth Proportional to 27,702.60, 41,553.96 and 15,416.52

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Solution

The fourth proportional to 27,702.60, 41,553.96 and 15,416.52 is: 23,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.60 : 41,553.96 = 15,416.52 : x
  2. Step 2: Convert to fraction form
    27,702.60/41,553.96 = 15,416.52/x
  3. Step 3: Cross multiply
    27,702.60x = 41,553.96 × 15,416.52
  4. Step 4: Simplify right side
    27,702.60x = 640,617,455.42
  5. Step 5: Solve for x
    x = 640,617,455.42/27,702.60
  6. Step 6: Final answer
    x = 23,124.81

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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.