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Finding the Fourth Proportional to 13,642.41, 20,343.12 and 11,983.32

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Solution

The fourth proportional to 13,642.41, 20,343.12 and 11,983.32 is: 17,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.41 : 20,343.12 = 11,983.32 : x
  2. Step 2: Convert to fraction form
    13,642.41/20,343.12 = 11,983.32/x
  3. Step 3: Cross multiply
    13,642.41x = 20,343.12 × 11,983.32
  4. Step 4: Simplify right side
    13,642.41x = 243,778,116.76
  5. Step 5: Solve for x
    x = 243,778,116.76/13,642.41
  6. Step 6: Final answer
    x = 17,869.14

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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.