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Finding the Fourth Proportional to 23,142.80, 34,627.80 and 15,366.80

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Solution

The fourth proportional to 23,142.80, 34,627.80 and 15,366.80 is: 22,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.80 : 34,627.80 = 15,366.80 : x
  2. Step 2: Convert to fraction form
    23,142.80/34,627.80 = 15,366.80/x
  3. Step 3: Cross multiply
    23,142.80x = 34,627.80 × 15,366.80
  4. Step 4: Simplify right side
    23,142.80x = 532,118,477.04
  5. Step 5: Solve for x
    x = 532,118,477.04/23,142.80
  6. Step 6: Final answer
    x = 22,992.83

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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.