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Finding the Fourth Proportional to 22,193.31, 30,623.13 and 13,117.41

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Solution

The fourth proportional to 22,193.31, 30,623.13 and 13,117.41 is: 18,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,193.31 : 30,623.13 = 13,117.41 : x
  2. Step 2: Convert to fraction form
    22,193.31/30,623.13 = 13,117.41/x
  3. Step 3: Cross multiply
    22,193.31x = 30,623.13 × 13,117.41
  4. Step 4: Simplify right side
    22,193.31x = 401,696,151.69
  5. Step 5: Solve for x
    x = 401,696,151.69/22,193.31
  6. Step 6: Final answer
    x = 18,099.88

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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.