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Finding the Fourth Proportional to 24,194.40, 33,388.32 and 13,584

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Solution

The fourth proportional to 24,194.40, 33,388.32 and 13,584 is: 18,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.40 : 33,388.32 = 13,584 : x
  2. Step 2: Convert to fraction form
    24,194.40/33,388.32 = 13,584/x
  3. Step 3: Cross multiply
    24,194.40x = 33,388.32 × 13,584
  4. Step 4: Simplify right side
    24,194.40x = 453,546,938.88
  5. Step 5: Solve for x
    x = 453,546,938.88/24,194.40
  6. Step 6: Final answer
    x = 18,745.95

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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.