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Finding the Fourth Proportional to 22,632.66, 33,957.09 and 11,542.14

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Solution

The fourth proportional to 22,632.66, 33,957.09 and 11,542.14 is: 17,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.66 : 33,957.09 = 11,542.14 : x
  2. Step 2: Convert to fraction form
    22,632.66/33,957.09 = 11,542.14/x
  3. Step 3: Cross multiply
    22,632.66x = 33,957.09 × 11,542.14
  4. Step 4: Simplify right side
    22,632.66x = 391,937,486.77
  5. Step 5: Solve for x
    x = 391,937,486.77/22,632.66
  6. Step 6: Final answer
    x = 17,317.34

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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.