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Finding the Fourth Proportional to 15,123.96, 22,688.28 and 7,724.40

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Solution

The fourth proportional to 15,123.96, 22,688.28 and 7,724.40 is: 11,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.96 : 22,688.28 = 7,724.40 : x
  2. Step 2: Convert to fraction form
    15,123.96/22,688.28 = 7,724.40/x
  3. Step 3: Cross multiply
    15,123.96x = 22,688.28 × 7,724.40
  4. Step 4: Simplify right side
    15,123.96x = 175,253,350.03
  5. Step 5: Solve for x
    x = 175,253,350.03/15,123.96
  6. Step 6: Final answer
    x = 11,587.80

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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.