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Finding the Fourth Proportional to 22,754.54, 31,401.19 and 12,682.87

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Solution

The fourth proportional to 22,754.54, 31,401.19 and 12,682.87 is: 17,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.54 : 31,401.19 = 12,682.87 : x
  2. Step 2: Convert to fraction form
    22,754.54/31,401.19 = 12,682.87/x
  3. Step 3: Cross multiply
    22,754.54x = 31,401.19 × 12,682.87
  4. Step 4: Simplify right side
    22,754.54x = 398,257,210.62
  5. Step 5: Solve for x
    x = 398,257,210.62/22,754.54
  6. Step 6: Final answer
    x = 17,502.32

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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.