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Finding the Fourth Proportional to 20,117.70, 30,176.55 and 12,754.80

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Solution

The fourth proportional to 20,117.70, 30,176.55 and 12,754.80 is: 19,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.70 : 30,176.55 = 12,754.80 : x
  2. Step 2: Convert to fraction form
    20,117.70/30,176.55 = 12,754.80/x
  3. Step 3: Cross multiply
    20,117.70x = 30,176.55 × 12,754.80
  4. Step 4: Simplify right side
    20,117.70x = 384,895,859.94
  5. Step 5: Solve for x
    x = 384,895,859.94/20,117.70
  6. Step 6: Final answer
    x = 19,132.20

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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.