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Finding the Fourth Proportional to 24,092.19, 36,144.41 and 9,297.14

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Solution

The fourth proportional to 24,092.19, 36,144.41 and 9,297.14 is: 13,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,092.19 : 36,144.41 = 9,297.14 : x
  2. Step 2: Convert to fraction form
    24,092.19/36,144.41 = 9,297.14/x
  3. Step 3: Cross multiply
    24,092.19x = 36,144.41 × 9,297.14
  4. Step 4: Simplify right side
    24,092.19x = 336,039,412.78
  5. Step 5: Solve for x
    x = 336,039,412.78/24,092.19
  6. Step 6: Final answer
    x = 13,948.06

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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.