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Finding the Fourth Proportional to 22,634.88, 33,971.04 and 11,549.76

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Solution

The fourth proportional to 22,634.88, 33,971.04 and 11,549.76 is: 17,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.88 : 33,971.04 = 11,549.76 : x
  2. Step 2: Convert to fraction form
    22,634.88/33,971.04 = 11,549.76/x
  3. Step 3: Cross multiply
    22,634.88x = 33,971.04 × 11,549.76
  4. Step 4: Simplify right side
    22,634.88x = 392,357,358.95
  5. Step 5: Solve for x
    x = 392,357,358.95/22,634.88
  6. Step 6: Final answer
    x = 17,334.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.