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Finding the Fourth Proportional to 24,378.08, 33,641.60 and 13,200

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Solution

The fourth proportional to 24,378.08, 33,641.60 and 13,200 is: 18,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.08 : 33,641.60 = 13,200 : x
  2. Step 2: Convert to fraction form
    24,378.08/33,641.60 = 13,200/x
  3. Step 3: Cross multiply
    24,378.08x = 33,641.60 × 13,200
  4. Step 4: Simplify right side
    24,378.08x = 444,069,120
  5. Step 5: Solve for x
    x = 444,069,120/24,378.08
  6. Step 6: Final answer
    x = 18,215.92

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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.