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Finding the Fourth Proportional to 24,378.53, 33,642.36 and 13,200.53

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Solution

The fourth proportional to 24,378.53, 33,642.36 and 13,200.53 is: 18,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.53 : 33,642.36 = 13,200.53 : x
  2. Step 2: Convert to fraction form
    24,378.53/33,642.36 = 13,200.53/x
  3. Step 3: Cross multiply
    24,378.53x = 33,642.36 × 13,200.53
  4. Step 4: Simplify right side
    24,378.53x = 444,096,814.24
  5. Step 5: Solve for x
    x = 444,096,814.24/24,378.53
  6. Step 6: Final answer
    x = 18,216.72

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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.