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Finding the Fourth Proportional to 24,199.20, 36,277.20 and 9,403.20

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Solution

The fourth proportional to 24,199.20, 36,277.20 and 9,403.20 is: 14,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.20 : 36,277.20 = 9,403.20 : x
  2. Step 2: Convert to fraction form
    24,199.20/36,277.20 = 9,403.20/x
  3. Step 3: Cross multiply
    24,199.20x = 36,277.20 × 9,403.20
  4. Step 4: Simplify right side
    24,199.20x = 341,121,767.04
  5. Step 5: Solve for x
    x = 341,121,767.04/24,199.20
  6. Step 6: Final answer
    x = 14,096.41

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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.