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Finding the Fourth Proportional to 24,196, 33,387.78 and 13,584.16

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Solution

The fourth proportional to 24,196, 33,387.78 and 13,584.16 is: 18,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196 : 33,387.78 = 13,584.16 : x
  2. Step 2: Convert to fraction form
    24,196/33,387.78 = 13,584.16/x
  3. Step 3: Cross multiply
    24,196x = 33,387.78 × 13,584.16
  4. Step 4: Simplify right side
    24,196x = 453,544,945.56
  5. Step 5: Solve for x
    x = 453,544,945.56/24,196
  6. Step 6: Final answer
    x = 18,744.62

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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.