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Finding the Fourth Proportional to 24,099.14, 33,257 and 13,488.74

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Solution

The fourth proportional to 24,099.14, 33,257 and 13,488.74 is: 18,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,099.14 : 33,257 = 13,488.74 : x
  2. Step 2: Convert to fraction form
    24,099.14/33,257 = 13,488.74/x
  3. Step 3: Cross multiply
    24,099.14x = 33,257 × 13,488.74
  4. Step 4: Simplify right side
    24,099.14x = 448,595,026.18
  5. Step 5: Solve for x
    x = 448,595,026.18/24,099.14
  6. Step 6: Final answer
    x = 18,614.57

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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.