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Finding the Fourth Proportional to 12,882.26, 19,323.03 and 4,117.70

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Solution

The fourth proportional to 12,882.26, 19,323.03 and 4,117.70 is: 6,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.26 : 19,323.03 = 4,117.70 : x
  2. Step 2: Convert to fraction form
    12,882.26/19,323.03 = 4,117.70/x
  3. Step 3: Cross multiply
    12,882.26x = 19,323.03 × 4,117.70
  4. Step 4: Simplify right side
    12,882.26x = 79,566,440.63
  5. Step 5: Solve for x
    x = 79,566,440.63/12,882.26
  6. Step 6: Final answer
    x = 6,176.43

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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.