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Finding the Fourth Proportional to 24,138.53, 33,312.76 and 13,383.88

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Solution

The fourth proportional to 24,138.53, 33,312.76 and 13,383.88 is: 18,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138.53 : 33,312.76 = 13,383.88 : x
  2. Step 2: Convert to fraction form
    24,138.53/33,312.76 = 13,383.88/x
  3. Step 3: Cross multiply
    24,138.53x = 33,312.76 × 13,383.88
  4. Step 4: Simplify right side
    24,138.53x = 445,854,034.13
  5. Step 5: Solve for x
    x = 445,854,034.13/24,138.53
  6. Step 6: Final answer
    x = 18,470.64

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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.