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Finding the Fourth Proportional to 13,443.84, 18,560.80 and 8,665.46

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Solution

The fourth proportional to 13,443.84, 18,560.80 and 8,665.46 is: 11,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.84 : 18,560.80 = 8,665.46 : x
  2. Step 2: Convert to fraction form
    13,443.84/18,560.80 = 8,665.46/x
  3. Step 3: Cross multiply
    13,443.84x = 18,560.80 × 8,665.46
  4. Step 4: Simplify right side
    13,443.84x = 160,837,869.97
  5. Step 5: Solve for x
    x = 160,837,869.97/13,443.84
  6. Step 6: Final answer
    x = 11,963.69

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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.