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Finding the Fourth Proportional to 23,205.28, 32,031.12 and 16,132

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Solution

The fourth proportional to 23,205.28, 32,031.12 and 16,132 is: 22,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.28 : 32,031.12 = 16,132 : x
  2. Step 2: Convert to fraction form
    23,205.28/32,031.12 = 16,132/x
  3. Step 3: Cross multiply
    23,205.28x = 32,031.12 × 16,132
  4. Step 4: Simplify right side
    23,205.28x = 516,726,027.84
  5. Step 5: Solve for x
    x = 516,726,027.84/23,205.28
  6. Step 6: Final answer
    x = 22,267.61

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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.