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Finding the Fourth Proportional to 24,446.76, 33,738.68 and 13,691.46

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Solution

The fourth proportional to 24,446.76, 33,738.68 and 13,691.46 is: 18,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446.76 : 33,738.68 = 13,691.46 : x
  2. Step 2: Convert to fraction form
    24,446.76/33,738.68 = 13,691.46/x
  3. Step 3: Cross multiply
    24,446.76x = 33,738.68 × 13,691.46
  4. Step 4: Simplify right side
    24,446.76x = 461,931,719.22
  5. Step 5: Solve for x
    x = 461,931,719.22/24,446.76
  6. Step 6: Final answer
    x = 18,895.42

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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.