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Finding the Fourth Proportional to 22,592.37, 31,177.10 and 12,520.78

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Solution

The fourth proportional to 22,592.37, 31,177.10 and 12,520.78 is: 17,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,592.37 : 31,177.10 = 12,520.78 : x
  2. Step 2: Convert to fraction form
    22,592.37/31,177.10 = 12,520.78/x
  3. Step 3: Cross multiply
    22,592.37x = 31,177.10 × 12,520.78
  4. Step 4: Simplify right side
    22,592.37x = 390,361,563.50
  5. Step 5: Solve for x
    x = 390,361,563.50/22,592.37
  6. Step 6: Final answer
    x = 17,278.47

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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.