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Finding the Fourth Proportional to 24,319.36, 33,561.39 and 14,761

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Solution

The fourth proportional to 24,319.36, 33,561.39 and 14,761 is: 20,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,319.36 : 33,561.39 = 14,761 : x
  2. Step 2: Convert to fraction form
    24,319.36/33,561.39 = 14,761/x
  3. Step 3: Cross multiply
    24,319.36x = 33,561.39 × 14,761
  4. Step 4: Simplify right side
    24,319.36x = 495,399,677.79
  5. Step 5: Solve for x
    x = 495,399,677.79/24,319.36
  6. Step 6: Final answer
    x = 20,370.59

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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.