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Finding the Fourth Proportional to 20,038.68, 30,064.92 and 7,562.28

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Solution

The fourth proportional to 20,038.68, 30,064.92 and 7,562.28 is: 11,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.68 : 30,064.92 = 7,562.28 : x
  2. Step 2: Convert to fraction form
    20,038.68/30,064.92 = 7,562.28/x
  3. Step 3: Cross multiply
    20,038.68x = 30,064.92 × 7,562.28
  4. Step 4: Simplify right side
    20,038.68x = 227,359,343.22
  5. Step 5: Solve for x
    x = 227,359,343.22/20,038.68
  6. Step 6: Final answer
    x = 11,346.02

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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.