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Finding the Fourth Proportional to 24,098.75, 33,256.68 and 13,197.84

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Solution

The fourth proportional to 24,098.75, 33,256.68 and 13,197.84 is: 18,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.75 : 33,256.68 = 13,197.84 : x
  2. Step 2: Convert to fraction form
    24,098.75/33,256.68 = 13,197.84/x
  3. Step 3: Cross multiply
    24,098.75x = 33,256.68 × 13,197.84
  4. Step 4: Simplify right side
    24,098.75x = 438,916,275.58
  5. Step 5: Solve for x
    x = 438,916,275.58/24,098.75
  6. Step 6: Final answer
    x = 18,213.24

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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.