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Finding the Fourth Proportional to 12,820.27, 17,687.02 and 9,471.13

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Solution

The fourth proportional to 12,820.27, 17,687.02 and 9,471.13 is: 13,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.27 : 17,687.02 = 9,471.13 : x
  2. Step 2: Convert to fraction form
    12,820.27/17,687.02 = 9,471.13/x
  3. Step 3: Cross multiply
    12,820.27x = 17,687.02 × 9,471.13
  4. Step 4: Simplify right side
    12,820.27x = 167,516,065.73
  5. Step 5: Solve for x
    x = 167,516,065.73/12,820.27
  6. Step 6: Final answer
    x = 13,066.50

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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.