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Finding the Fourth Proportional to 22,937.20, 31,653.04 and 12,868.20

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Solution

The fourth proportional to 22,937.20, 31,653.04 and 12,868.20 is: 17,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.20 : 31,653.04 = 12,868.20 : x
  2. Step 2: Convert to fraction form
    22,937.20/31,653.04 = 12,868.20/x
  3. Step 3: Cross multiply
    22,937.20x = 31,653.04 × 12,868.20
  4. Step 4: Simplify right side
    22,937.20x = 407,317,649.33
  5. Step 5: Solve for x
    x = 407,317,649.33/22,937.20
  6. Step 6: Final answer
    x = 17,757.95

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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.