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Finding the Fourth Proportional to 22,757.80, 31,425.16 and 14,274.20

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Solution

The fourth proportional to 22,757.80, 31,425.16 and 14,274.20 is: 19,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.80 : 31,425.16 = 14,274.20 : x
  2. Step 2: Convert to fraction form
    22,757.80/31,425.16 = 14,274.20/x
  3. Step 3: Cross multiply
    22,757.80x = 31,425.16 × 14,274.20
  4. Step 4: Simplify right side
    22,757.80x = 448,569,018.87
  5. Step 5: Solve for x
    x = 448,569,018.87/22,757.80
  6. Step 6: Final answer
    x = 19,710.56

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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.