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Finding the Fourth Proportional to 12,782.20, 19,176.90 and 5,390.20

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Solution

The fourth proportional to 12,782.20, 19,176.90 and 5,390.20 is: 8,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.20 : 19,176.90 = 5,390.20 : x
  2. Step 2: Convert to fraction form
    12,782.20/19,176.90 = 5,390.20/x
  3. Step 3: Cross multiply
    12,782.20x = 19,176.90 × 5,390.20
  4. Step 4: Simplify right side
    12,782.20x = 103,367,326.38
  5. Step 5: Solve for x
    x = 103,367,326.38/12,782.20
  6. Step 6: Final answer
    x = 8,086.82

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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.