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Finding the Fourth Proportional to 13,562.31, 18,717.98 and 8,256.13

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Solution

The fourth proportional to 13,562.31, 18,717.98 and 8,256.13 is: 11,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.31 : 18,717.98 = 8,256.13 : x
  2. Step 2: Convert to fraction form
    13,562.31/18,717.98 = 8,256.13/x
  3. Step 3: Cross multiply
    13,562.31x = 18,717.98 × 8,256.13
  4. Step 4: Simplify right side
    13,562.31x = 154,538,139.87
  5. Step 5: Solve for x
    x = 154,538,139.87/13,562.31
  6. Step 6: Final answer
    x = 11,394.68

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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.