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Finding the Fourth Proportional to 21,113.30, 31,658.24 and 8,642.08

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Solution

The fourth proportional to 21,113.30, 31,658.24 and 8,642.08 is: 12,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.30 : 31,658.24 = 8,642.08 : x
  2. Step 2: Convert to fraction form
    21,113.30/31,658.24 = 8,642.08/x
  3. Step 3: Cross multiply
    21,113.30x = 31,658.24 × 8,642.08
  4. Step 4: Simplify right side
    21,113.30x = 273,593,042.74
  5. Step 5: Solve for x
    x = 273,593,042.74/21,113.30
  6. Step 6: Final answer
    x = 12,958.33

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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.