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Finding the Fourth Proportional to 24,449.39, 36,673.79 and 7,809.20

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Solution

The fourth proportional to 24,449.39, 36,673.79 and 7,809.20 is: 11,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449.39 : 36,673.79 = 7,809.20 : x
  2. Step 2: Convert to fraction form
    24,449.39/36,673.79 = 7,809.20/x
  3. Step 3: Cross multiply
    24,449.39x = 36,673.79 × 7,809.20
  4. Step 4: Simplify right side
    24,449.39x = 286,392,738.45
  5. Step 5: Solve for x
    x = 286,392,738.45/24,449.39
  6. Step 6: Final answer
    x = 11,713.70

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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.