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Finding the Fourth Proportional to 14,229.17, 19,634.70 and 8,259.87

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Solution

The fourth proportional to 14,229.17, 19,634.70 and 8,259.87 is: 11,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.17 : 19,634.70 = 8,259.87 : x
  2. Step 2: Convert to fraction form
    14,229.17/19,634.70 = 8,259.87/x
  3. Step 3: Cross multiply
    14,229.17x = 19,634.70 × 8,259.87
  4. Step 4: Simplify right side
    14,229.17x = 162,180,174.09
  5. Step 5: Solve for x
    x = 162,180,174.09/14,229.17
  6. Step 6: Final answer
    x = 11,397.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.