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Finding the Fourth Proportional to 24,472.32, 33,771.74 and 13,294.32

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Solution

The fourth proportional to 24,472.32, 33,771.74 and 13,294.32 is: 18,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.32 : 33,771.74 = 13,294.32 : x
  2. Step 2: Convert to fraction form
    24,472.32/33,771.74 = 13,294.32/x
  3. Step 3: Cross multiply
    24,472.32x = 33,771.74 × 13,294.32
  4. Step 4: Simplify right side
    24,472.32x = 448,972,252.05
  5. Step 5: Solve for x
    x = 448,972,252.05/24,472.32
  6. Step 6: Final answer
    x = 18,346.13

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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.