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Finding the Fourth Proportional to 21,167.29, 31,751.19 and 14,591.71

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Solution

The fourth proportional to 21,167.29, 31,751.19 and 14,591.71 is: 21,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.29 : 31,751.19 = 14,591.71 : x
  2. Step 2: Convert to fraction form
    21,167.29/31,751.19 = 14,591.71/x
  3. Step 3: Cross multiply
    21,167.29x = 31,751.19 × 14,591.71
  4. Step 4: Simplify right side
    21,167.29x = 463,304,156.63
  5. Step 5: Solve for x
    x = 463,304,156.63/21,167.29
  6. Step 6: Final answer
    x = 21,887.74

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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.