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Finding the Fourth Proportional to 13,642.66, 20,343.50 and 11,983.57

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Solution

The fourth proportional to 13,642.66, 20,343.50 and 11,983.57 is: 17,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.66 : 20,343.50 = 11,983.57 : x
  2. Step 2: Convert to fraction form
    13,642.66/20,343.50 = 11,983.57/x
  3. Step 3: Cross multiply
    13,642.66x = 20,343.50 × 11,983.57
  4. Step 4: Simplify right side
    13,642.66x = 243,787,756.30
  5. Step 5: Solve for x
    x = 243,787,756.30/13,642.66
  6. Step 6: Final answer
    x = 17,869.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.