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Finding the Fourth Proportional to 24,333.20, 36,486.13 and 7,697.42

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Solution

The fourth proportional to 24,333.20, 36,486.13 and 7,697.42 is: 11,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.20 : 36,486.13 = 7,697.42 : x
  2. Step 2: Convert to fraction form
    24,333.20/36,486.13 = 7,697.42/x
  3. Step 3: Cross multiply
    24,333.20x = 36,486.13 × 7,697.42
  4. Step 4: Simplify right side
    24,333.20x = 280,849,066.78
  5. Step 5: Solve for x
    x = 280,849,066.78/24,333.20
  6. Step 6: Final answer
    x = 11,541.81

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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.