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Finding the Fourth Proportional to 24,378.57, 33,642.34 and 13,200.57

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Solution

The fourth proportional to 24,378.57, 33,642.34 and 13,200.57 is: 18,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.57 : 33,642.34 = 13,200.57 : x
  2. Step 2: Convert to fraction form
    24,378.57/33,642.34 = 13,200.57/x
  3. Step 3: Cross multiply
    24,378.57x = 33,642.34 × 13,200.57
  4. Step 4: Simplify right side
    24,378.57x = 444,098,031.13
  5. Step 5: Solve for x
    x = 444,098,031.13/24,378.57
  6. Step 6: Final answer
    x = 18,216.74

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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.