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Finding the Fourth Proportional to 24,446.27, 36,674.37 and 7,805.84

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Solution

The fourth proportional to 24,446.27, 36,674.37 and 7,805.84 is: 11,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446.27 : 36,674.37 = 7,805.84 : x
  2. Step 2: Convert to fraction form
    24,446.27/36,674.37 = 7,805.84/x
  3. Step 3: Cross multiply
    24,446.27x = 36,674.37 × 7,805.84
  4. Step 4: Simplify right side
    24,446.27x = 286,274,080.95
  5. Step 5: Solve for x
    x = 286,274,080.95/24,446.27
  6. Step 6: Final answer
    x = 11,710.34

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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.