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Finding the Fourth Proportional to 21,534.92, 32,302.32 and 5,952.52

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Solution

The fourth proportional to 21,534.92, 32,302.32 and 5,952.52 is: 8,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.92 : 32,302.32 = 5,952.52 : x
  2. Step 2: Convert to fraction form
    21,534.92/32,302.32 = 5,952.52/x
  3. Step 3: Cross multiply
    21,534.92x = 32,302.32 × 5,952.52
  4. Step 4: Simplify right side
    21,534.92x = 192,280,205.85
  5. Step 5: Solve for x
    x = 192,280,205.85/21,534.92
  6. Step 6: Final answer
    x = 8,928.76

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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.