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Finding the Fourth Proportional to 17,823.66, 26,734.92 and 8,470.42

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Solution

The fourth proportional to 17,823.66, 26,734.92 and 8,470.42 is: 12,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.66 : 26,734.92 = 8,470.42 : x
  2. Step 2: Convert to fraction form
    17,823.66/26,734.92 = 8,470.42/x
  3. Step 3: Cross multiply
    17,823.66x = 26,734.92 × 8,470.42
  4. Step 4: Simplify right side
    17,823.66x = 226,456,001.07
  5. Step 5: Solve for x
    x = 226,456,001.07/17,823.66
  6. Step 6: Final answer
    x = 12,705.36

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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.