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Finding the Fourth Proportional to 24,182.42, 36,282.74 and 9,392.22

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Solution

The fourth proportional to 24,182.42, 36,282.74 and 9,392.22 is: 14,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.42 : 36,282.74 = 9,392.22 : x
  2. Step 2: Convert to fraction form
    24,182.42/36,282.74 = 9,392.22/x
  3. Step 3: Cross multiply
    24,182.42x = 36,282.74 × 9,392.22
  4. Step 4: Simplify right side
    24,182.42x = 340,775,429.32
  5. Step 5: Solve for x
    x = 340,775,429.32/24,182.42
  6. Step 6: Final answer
    x = 14,091.87

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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.