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Finding the Fourth Proportional to 24,468.65, 33,769.09 and 13,713.47

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Solution

The fourth proportional to 24,468.65, 33,769.09 and 13,713.47 is: 18,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.65 : 33,769.09 = 13,713.47 : x
  2. Step 2: Convert to fraction form
    24,468.65/33,769.09 = 13,713.47/x
  3. Step 3: Cross multiply
    24,468.65x = 33,769.09 × 13,713.47
  4. Step 4: Simplify right side
    24,468.65x = 463,091,377.57
  5. Step 5: Solve for x
    x = 463,091,377.57/24,468.65
  6. Step 6: Final answer
    x = 18,925.91

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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.