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Finding the Fourth Proportional to 13,872.71, 19,139.62 and 8,497.69

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Solution

The fourth proportional to 13,872.71, 19,139.62 and 8,497.69 is: 11,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.71 : 19,139.62 = 8,497.69 : x
  2. Step 2: Convert to fraction form
    13,872.71/19,139.62 = 8,497.69/x
  3. Step 3: Cross multiply
    13,872.71x = 19,139.62 × 8,497.69
  4. Step 4: Simplify right side
    13,872.71x = 162,642,419.29
  5. Step 5: Solve for x
    x = 162,642,419.29/13,872.71
  6. Step 6: Final answer
    x = 11,723.91

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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.