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Finding the Fourth Proportional to 20,744.80, 31,117.20 and 14,912.80

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Solution

The fourth proportional to 20,744.80, 31,117.20 and 14,912.80 is: 22,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744.80 : 31,117.20 = 14,912.80 : x
  2. Step 2: Convert to fraction form
    20,744.80/31,117.20 = 14,912.80/x
  3. Step 3: Cross multiply
    20,744.80x = 31,117.20 × 14,912.80
  4. Step 4: Simplify right side
    20,744.80x = 464,044,580.16
  5. Step 5: Solve for x
    x = 464,044,580.16/20,744.80
  6. Step 6: Final answer
    x = 22,369.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.