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Finding the Fourth Proportional to 24,097.16, 33,254.18 and 13,486.78

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Solution

The fourth proportional to 24,097.16, 33,254.18 and 13,486.78 is: 18,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.16 : 33,254.18 = 13,486.78 : x
  2. Step 2: Convert to fraction form
    24,097.16/33,254.18 = 13,486.78/x
  3. Step 3: Cross multiply
    24,097.16x = 33,254.18 × 13,486.78
  4. Step 4: Simplify right side
    24,097.16x = 448,491,834.45
  5. Step 5: Solve for x
    x = 448,491,834.45/24,097.16
  6. Step 6: Final answer
    x = 18,611.81

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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.