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Finding the Fourth Proportional to 29,006.52, 40,029 and 16,259.76

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Solution

The fourth proportional to 29,006.52, 40,029 and 16,259.76 is: 22,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,006.52 : 40,029 = 16,259.76 : x
  2. Step 2: Convert to fraction form
    29,006.52/40,029 = 16,259.76/x
  3. Step 3: Cross multiply
    29,006.52x = 40,029 × 16,259.76
  4. Step 4: Simplify right side
    29,006.52x = 650,861,933.04
  5. Step 5: Solve for x
    x = 650,861,933.04/29,006.52
  6. Step 6: Final answer
    x = 22,438.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.