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Finding the Fourth Proportional to 24,319.41, 33,560.80 and 13,141.41

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Solution

The fourth proportional to 24,319.41, 33,560.80 and 13,141.41 is: 18,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,319.41 : 33,560.80 = 13,141.41 : x
  2. Step 2: Convert to fraction form
    24,319.41/33,560.80 = 13,141.41/x
  3. Step 3: Cross multiply
    24,319.41x = 33,560.80 × 13,141.41
  4. Step 4: Simplify right side
    24,319.41x = 441,036,074.02
  5. Step 5: Solve for x
    x = 441,036,074.02/24,319.41
  6. Step 6: Final answer
    x = 18,135.15

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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.