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Finding the Fourth Proportional to 22,672, 33,981.12 and 17,106.88

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Solution

The fourth proportional to 22,672, 33,981.12 and 17,106.88 is: 25,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672 : 33,981.12 = 17,106.88 : x
  2. Step 2: Convert to fraction form
    22,672/33,981.12 = 17,106.88/x
  3. Step 3: Cross multiply
    22,672x = 33,981.12 × 17,106.88
  4. Step 4: Simplify right side
    22,672x = 581,310,942.11
  5. Step 5: Solve for x
    x = 581,310,942.11/22,672
  6. Step 6: Final answer
    x = 25,640.04

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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.