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Finding the Fourth Proportional to 20,414.79, 30,624.11 and 7,935.76

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Solution

The fourth proportional to 20,414.79, 30,624.11 and 7,935.76 is: 11,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.79 : 30,624.11 = 7,935.76 : x
  2. Step 2: Convert to fraction form
    20,414.79/30,624.11 = 7,935.76/x
  3. Step 3: Cross multiply
    20,414.79x = 30,624.11 × 7,935.76
  4. Step 4: Simplify right side
    20,414.79x = 243,025,587.17
  5. Step 5: Solve for x
    x = 243,025,587.17/20,414.79
  6. Step 6: Final answer
    x = 11,904.39

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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.