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Finding the Fourth Proportional to 19,233.90, 28,853.82 and 8,140.65

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Solution

The fourth proportional to 19,233.90, 28,853.82 and 8,140.65 is: 12,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,233.90 : 28,853.82 = 8,140.65 : x
  2. Step 2: Convert to fraction form
    19,233.90/28,853.82 = 8,140.65/x
  3. Step 3: Cross multiply
    19,233.90x = 28,853.82 × 8,140.65
  4. Step 4: Simplify right side
    19,233.90x = 234,888,849.78
  5. Step 5: Solve for x
    x = 234,888,849.78/19,233.90
  6. Step 6: Final answer
    x = 12,212.23

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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.