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Finding the Fourth Proportional to 24,232.64, 36,365.64 and 9,441.68

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Solution

The fourth proportional to 24,232.64, 36,365.64 and 9,441.68 is: 14,169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.64 : 36,365.64 = 9,441.68 : x
  2. Step 2: Convert to fraction form
    24,232.64/36,365.64 = 9,441.68/x
  3. Step 3: Cross multiply
    24,232.64x = 36,365.64 × 9,441.68
  4. Step 4: Simplify right side
    24,232.64x = 343,352,735.88
  5. Step 5: Solve for x
    x = 343,352,735.88/24,232.64
  6. Step 6: Final answer
    x = 14,169.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.