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Finding the Fourth Proportional to 20,417.68, 30,624.60 and 6,562.96

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Solution

The fourth proportional to 20,417.68, 30,624.60 and 6,562.96 is: 9,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,417.68 : 30,624.60 = 6,562.96 : x
  2. Step 2: Convert to fraction form
    20,417.68/30,624.60 = 6,562.96/x
  3. Step 3: Cross multiply
    20,417.68x = 30,624.60 × 6,562.96
  4. Step 4: Simplify right side
    20,417.68x = 200,988,024.82
  5. Step 5: Solve for x
    x = 200,988,024.82/20,417.68
  6. Step 6: Final answer
    x = 9,843.82

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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.