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Finding the Fourth Proportional to 15,123.60, 22,686.77 and 7,734.27

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Solution

The fourth proportional to 15,123.60, 22,686.77 and 7,734.27 is: 11,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.60 : 22,686.77 = 7,734.27 : x
  2. Step 2: Convert to fraction form
    15,123.60/22,686.77 = 7,734.27/x
  3. Step 3: Cross multiply
    15,123.60x = 22,686.77 × 7,734.27
  4. Step 4: Simplify right side
    15,123.60x = 175,465,604.61
  5. Step 5: Solve for x
    x = 175,465,604.61/15,123.60
  6. Step 6: Final answer
    x = 11,602.11

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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.