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Finding the Fourth Proportional to 21,854.34, 32,725.92 and 14,447.70

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Solution

The fourth proportional to 21,854.34, 32,725.92 and 14,447.70 is: 21,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.34 : 32,725.92 = 14,447.70 : x
  2. Step 2: Convert to fraction form
    21,854.34/32,725.92 = 14,447.70/x
  3. Step 3: Cross multiply
    21,854.34x = 32,725.92 × 14,447.70
  4. Step 4: Simplify right side
    21,854.34x = 472,814,328.56
  5. Step 5: Solve for x
    x = 472,814,328.56/21,854.34
  6. Step 6: Final answer
    x = 21,634.80

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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.