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Finding the Fourth Proportional to 24,218.98, 36,330 and 6,449.35

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Solution

The fourth proportional to 24,218.98, 36,330 and 6,449.35 is: 9,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,218.98 : 36,330 = 6,449.35 : x
  2. Step 2: Convert to fraction form
    24,218.98/36,330 = 6,449.35/x
  3. Step 3: Cross multiply
    24,218.98x = 36,330 × 6,449.35
  4. Step 4: Simplify right side
    24,218.98x = 234,304,703.85
  5. Step 5: Solve for x
    x = 234,304,703.85/24,218.98
  6. Step 6: Final answer
    x = 9,674.43

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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.