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Finding the Fourth Proportional to 21,167.52, 31,758.39 and 8,023.56

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Solution

The fourth proportional to 21,167.52, 31,758.39 and 8,023.56 is: 12,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.52 : 31,758.39 = 8,023.56 : x
  2. Step 2: Convert to fraction form
    21,167.52/31,758.39 = 8,023.56/x
  3. Step 3: Cross multiply
    21,167.52x = 31,758.39 × 8,023.56
  4. Step 4: Simplify right side
    21,167.52x = 254,815,347.67
  5. Step 5: Solve for x
    x = 254,815,347.67/21,167.52
  6. Step 6: Final answer
    x = 12,038.04

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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.