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Finding the Fourth Proportional to 22,534, 31,096.36 and 12,462.84

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Solution

The fourth proportional to 22,534, 31,096.36 and 12,462.84 is: 17,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534 : 31,096.36 = 12,462.84 : x
  2. Step 2: Convert to fraction form
    22,534/31,096.36 = 12,462.84/x
  3. Step 3: Cross multiply
    22,534x = 31,096.36 × 12,462.84
  4. Step 4: Simplify right side
    22,534x = 387,548,959.26
  5. Step 5: Solve for x
    x = 387,548,959.26/22,534
  6. Step 6: Final answer
    x = 17,198.41

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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.