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Finding the Fourth Proportional to 21,167.28, 31,751.18 and 14,591.70

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Solution

The fourth proportional to 21,167.28, 31,751.18 and 14,591.70 is: 21,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.28 : 31,751.18 = 14,591.70 : x
  2. Step 2: Convert to fraction form
    21,167.28/31,751.18 = 14,591.70/x
  3. Step 3: Cross multiply
    21,167.28x = 31,751.18 × 14,591.70
  4. Step 4: Simplify right side
    21,167.28x = 463,303,693.21
  5. Step 5: Solve for x
    x = 463,303,693.21/21,167.28
  6. Step 6: Final answer
    x = 21,887.73

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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.