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Finding the Fourth Proportional to 24,291.56, 33,522.54 and 13,680.20

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Solution

The fourth proportional to 24,291.56, 33,522.54 and 13,680.20 is: 18,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.56 : 33,522.54 = 13,680.20 : x
  2. Step 2: Convert to fraction form
    24,291.56/33,522.54 = 13,680.20/x
  3. Step 3: Cross multiply
    24,291.56x = 33,522.54 × 13,680.20
  4. Step 4: Simplify right side
    24,291.56x = 458,595,051.71
  5. Step 5: Solve for x
    x = 458,595,051.71/24,291.56
  6. Step 6: Final answer
    x = 18,878.78

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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.