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Finding the Fourth Proportional to 28,214.65, 42,324.09 and 9,494.74

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Solution

The fourth proportional to 28,214.65, 42,324.09 and 9,494.74 is: 14,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,214.65 : 42,324.09 = 9,494.74 : x
  2. Step 2: Convert to fraction form
    28,214.65/42,324.09 = 9,494.74/x
  3. Step 3: Cross multiply
    28,214.65x = 42,324.09 × 9,494.74
  4. Step 4: Simplify right side
    28,214.65x = 401,856,230.29
  5. Step 5: Solve for x
    x = 401,856,230.29/28,214.65
  6. Step 6: Final answer
    x = 14,242.82

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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.