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Finding the Fourth Proportional to 24,514.26, 36,773.58 and 9,521.02

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Solution

The fourth proportional to 24,514.26, 36,773.58 and 9,521.02 is: 14,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.26 : 36,773.58 = 9,521.02 : x
  2. Step 2: Convert to fraction form
    24,514.26/36,773.58 = 9,521.02/x
  3. Step 3: Cross multiply
    24,514.26x = 36,773.58 × 9,521.02
  4. Step 4: Simplify right side
    24,514.26x = 350,121,943.05
  5. Step 5: Solve for x
    x = 350,121,943.05/24,514.26
  6. Step 6: Final answer
    x = 14,282.38

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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.