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Finding the Fourth Proportional to 24,305.40, 33,542.10 and 13,694.40

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Solution

The fourth proportional to 24,305.40, 33,542.10 and 13,694.40 is: 18,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,305.40 : 33,542.10 = 13,694.40 : x
  2. Step 2: Convert to fraction form
    24,305.40/33,542.10 = 13,694.40/x
  3. Step 3: Cross multiply
    24,305.40x = 33,542.10 × 13,694.40
  4. Step 4: Simplify right side
    24,305.40x = 459,338,934.24
  5. Step 5: Solve for x
    x = 459,338,934.24/24,305.40
  6. Step 6: Final answer
    x = 18,898.64

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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.