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Finding the Fourth Proportional to 21,135.60, 31,675.89 and 8,641.35

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Solution

The fourth proportional to 21,135.60, 31,675.89 and 8,641.35 is: 12,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,135.60 : 31,675.89 = 8,641.35 : x
  2. Step 2: Convert to fraction form
    21,135.60/31,675.89 = 8,641.35/x
  3. Step 3: Cross multiply
    21,135.60x = 31,675.89 × 8,641.35
  4. Step 4: Simplify right side
    21,135.60x = 273,722,452.05
  5. Step 5: Solve for x
    x = 273,722,452.05/21,135.60
  6. Step 6: Final answer
    x = 12,950.78

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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.