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Finding the Fourth Proportional to 22,754.40, 31,401.22 and 12,683.48

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Solution

The fourth proportional to 22,754.40, 31,401.22 and 12,683.48 is: 17,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.40 : 31,401.22 = 12,683.48 : x
  2. Step 2: Convert to fraction form
    22,754.40/31,401.22 = 12,683.48/x
  3. Step 3: Cross multiply
    22,754.40x = 31,401.22 × 12,683.48
  4. Step 4: Simplify right side
    22,754.40x = 398,276,840.20
  5. Step 5: Solve for x
    x = 398,276,840.20/22,754.40
  6. Step 6: Final answer
    x = 17,503.29

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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.