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Finding the Fourth Proportional to 22,672.96, 34,009.74 and 7,882.16

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Solution

The fourth proportional to 22,672.96, 34,009.74 and 7,882.16 is: 11,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.96 : 34,009.74 = 7,882.16 : x
  2. Step 2: Convert to fraction form
    22,672.96/34,009.74 = 7,882.16/x
  3. Step 3: Cross multiply
    22,672.96x = 34,009.74 × 7,882.16
  4. Step 4: Simplify right side
    22,672.96x = 268,070,042.19
  5. Step 5: Solve for x
    x = 268,070,042.19/22,672.96
  6. Step 6: Final answer
    x = 11,823.34

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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.