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Finding the Fourth Proportional to 14,082.71, 19,438.99 and 8,116.76

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Solution

The fourth proportional to 14,082.71, 19,438.99 and 8,116.76 is: 11,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.71 : 19,438.99 = 8,116.76 : x
  2. Step 2: Convert to fraction form
    14,082.71/19,438.99 = 8,116.76/x
  3. Step 3: Cross multiply
    14,082.71x = 19,438.99 × 8,116.76
  4. Step 4: Simplify right side
    14,082.71x = 157,781,616.47
  5. Step 5: Solve for x
    x = 157,781,616.47/14,082.71
  6. Step 6: Final answer
    x = 11,203.92

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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.