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Finding the Fourth Proportional to 14,867.97, 20,510.13 and 10,086.30

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Solution

The fourth proportional to 14,867.97, 20,510.13 and 10,086.30 is: 13,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,867.97 : 20,510.13 = 10,086.30 : x
  2. Step 2: Convert to fraction form
    14,867.97/20,510.13 = 10,086.30/x
  3. Step 3: Cross multiply
    14,867.97x = 20,510.13 × 10,086.30
  4. Step 4: Simplify right side
    14,867.97x = 206,871,324.22
  5. Step 5: Solve for x
    x = 206,871,324.22/14,867.97
  6. Step 6: Final answer
    x = 13,913.89

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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.