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Finding the Fourth Proportional to 42,576.04, 63,856.76 and 11,404

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Solution

The fourth proportional to 42,576.04, 63,856.76 and 11,404 is: 17,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,576.04 : 63,856.76 = 11,404 : x
  2. Step 2: Convert to fraction form
    42,576.04/63,856.76 = 11,404/x
  3. Step 3: Cross multiply
    42,576.04x = 63,856.76 × 11,404
  4. Step 4: Simplify right side
    42,576.04x = 728,222,491.04
  5. Step 5: Solve for x
    x = 728,222,491.04/42,576.04
  6. Step 6: Final answer
    x = 17,104.04

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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.