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Finding the Fourth Proportional to 24,632.82, 36,952.88 and 9,049.23

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Solution

The fourth proportional to 24,632.82, 36,952.88 and 9,049.23 is: 13,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.82 : 36,952.88 = 9,049.23 : x
  2. Step 2: Convert to fraction form
    24,632.82/36,952.88 = 9,049.23/x
  3. Step 3: Cross multiply
    24,632.82x = 36,952.88 × 9,049.23
  4. Step 4: Simplify right side
    24,632.82x = 334,395,065.04
  5. Step 5: Solve for x
    x = 334,395,065.04/24,632.82
  6. Step 6: Final answer
    x = 13,575.18

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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.