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Finding the Fourth Proportional to 21,290.52, 31,932.12 and 5,704.50

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Solution

The fourth proportional to 21,290.52, 31,932.12 and 5,704.50 is: 8,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,290.52 : 31,932.12 = 5,704.50 : x
  2. Step 2: Convert to fraction form
    21,290.52/31,932.12 = 5,704.50/x
  3. Step 3: Cross multiply
    21,290.52x = 31,932.12 × 5,704.50
  4. Step 4: Simplify right side
    21,290.52x = 182,156,778.54
  5. Step 5: Solve for x
    x = 182,156,778.54/21,290.52
  6. Step 6: Final answer
    x = 8,555.77

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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.