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Finding the Fourth Proportional to 14,775.71, 20,398 and 11,410.97

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Solution

The fourth proportional to 14,775.71, 20,398 and 11,410.97 is: 15,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.71 : 20,398 = 11,410.97 : x
  2. Step 2: Convert to fraction form
    14,775.71/20,398 = 11,410.97/x
  3. Step 3: Cross multiply
    14,775.71x = 20,398 × 11,410.97
  4. Step 4: Simplify right side
    14,775.71x = 232,760,966.06
  5. Step 5: Solve for x
    x = 232,760,966.06/14,775.71
  6. Step 6: Final answer
    x = 15,752.95

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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.