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Finding the Fourth Proportional to 14,229.88, 19,637.13 and 7,856.47

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Solution

The fourth proportional to 14,229.88, 19,637.13 and 7,856.47 is: 10,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.88 : 19,637.13 = 7,856.47 : x
  2. Step 2: Convert to fraction form
    14,229.88/19,637.13 = 7,856.47/x
  3. Step 3: Cross multiply
    14,229.88x = 19,637.13 × 7,856.47
  4. Step 4: Simplify right side
    14,229.88x = 154,278,522.73
  5. Step 5: Solve for x
    x = 154,278,522.73/14,229.88
  6. Step 6: Final answer
    x = 10,841.87

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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.