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Finding the Fourth Proportional to 21,423.32, 32,129.76 and 6,427.52

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Solution

The fourth proportional to 21,423.32, 32,129.76 and 6,427.52 is: 9,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.32 : 32,129.76 = 6,427.52 : x
  2. Step 2: Convert to fraction form
    21,423.32/32,129.76 = 6,427.52/x
  3. Step 3: Cross multiply
    21,423.32x = 32,129.76 × 6,427.52
  4. Step 4: Simplify right side
    21,423.32x = 206,514,675.00
  5. Step 5: Solve for x
    x = 206,514,675.00/21,423.32
  6. Step 6: Final answer
    x = 9,639.71

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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.