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Finding the Fourth Proportional to 24,634.28, 36,923.98 and 9,839.32

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Solution

The fourth proportional to 24,634.28, 36,923.98 and 9,839.32 is: 14,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634.28 : 36,923.98 = 9,839.32 : x
  2. Step 2: Convert to fraction form
    24,634.28/36,923.98 = 9,839.32/x
  3. Step 3: Cross multiply
    24,634.28x = 36,923.98 × 9,839.32
  4. Step 4: Simplify right side
    24,634.28x = 363,306,854.89
  5. Step 5: Solve for x
    x = 363,306,854.89/24,634.28
  6. Step 6: Final answer
    x = 14,748.02

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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.