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Finding the Fourth Proportional to 24,838.42, 37,262.85 and 7,306.78

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Solution

The fourth proportional to 24,838.42, 37,262.85 and 7,306.78 is: 10,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838.42 : 37,262.85 = 7,306.78 : x
  2. Step 2: Convert to fraction form
    24,838.42/37,262.85 = 7,306.78/x
  3. Step 3: Cross multiply
    24,838.42x = 37,262.85 × 7,306.78
  4. Step 4: Simplify right side
    24,838.42x = 272,271,447.12
  5. Step 5: Solve for x
    x = 272,271,447.12/24,838.42
  6. Step 6: Final answer
    x = 10,961.71

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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.