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Finding the Fourth Proportional to 21,761.76, 32,635.72 and 13,429.32

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Solution

The fourth proportional to 21,761.76, 32,635.72 and 13,429.32 is: 20,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.76 : 32,635.72 = 13,429.32 : x
  2. Step 2: Convert to fraction form
    21,761.76/32,635.72 = 13,429.32/x
  3. Step 3: Cross multiply
    21,761.76x = 32,635.72 × 13,429.32
  4. Step 4: Simplify right side
    21,761.76x = 438,275,527.31
  5. Step 5: Solve for x
    x = 438,275,527.31/21,761.76
  6. Step 6: Final answer
    x = 20,139.71

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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.