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Finding the Fourth Proportional to 12,842.29, 17,721.04 and 8,812.57

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Solution

The fourth proportional to 12,842.29, 17,721.04 and 8,812.57 is: 12,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.29 : 17,721.04 = 8,812.57 : x
  2. Step 2: Convert to fraction form
    12,842.29/17,721.04 = 8,812.57/x
  3. Step 3: Cross multiply
    12,842.29x = 17,721.04 × 8,812.57
  4. Step 4: Simplify right side
    12,842.29x = 156,167,905.47
  5. Step 5: Solve for x
    x = 156,167,905.47/12,842.29
  6. Step 6: Final answer
    x = 12,160.44

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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.