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Finding the Fourth Proportional to 13,660.41, 20,441.85 and 9,916.53

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Solution

The fourth proportional to 13,660.41, 20,441.85 and 9,916.53 is: 14,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.41 : 20,441.85 = 9,916.53 : x
  2. Step 2: Convert to fraction form
    13,660.41/20,441.85 = 9,916.53/x
  3. Step 3: Cross multiply
    13,660.41x = 20,441.85 × 9,916.53
  4. Step 4: Simplify right side
    13,660.41x = 202,712,218.78
  5. Step 5: Solve for x
    x = 202,712,218.78/13,660.41
  6. Step 6: Final answer
    x = 14,839.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.