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Finding the Fourth Proportional to 22,762.80, 31,425.04 and 15,727.04

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Solution

The fourth proportional to 22,762.80, 31,425.04 and 15,727.04 is: 21,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.80 : 31,425.04 = 15,727.04 : x
  2. Step 2: Convert to fraction form
    22,762.80/31,425.04 = 15,727.04/x
  3. Step 3: Cross multiply
    22,762.80x = 31,425.04 × 15,727.04
  4. Step 4: Simplify right side
    22,762.80x = 494,222,861.08
  5. Step 5: Solve for x
    x = 494,222,861.08/22,762.80
  6. Step 6: Final answer
    x = 21,711.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.