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Finding the Fourth Proportional to 23,677.80, 35,516.70 and 7,882.80

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Solution

The fourth proportional to 23,677.80, 35,516.70 and 7,882.80 is: 11,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.80 : 35,516.70 = 7,882.80 : x
  2. Step 2: Convert to fraction form
    23,677.80/35,516.70 = 7,882.80/x
  3. Step 3: Cross multiply
    23,677.80x = 35,516.70 × 7,882.80
  4. Step 4: Simplify right side
    23,677.80x = 279,971,042.76
  5. Step 5: Solve for x
    x = 279,971,042.76/23,677.80
  6. Step 6: Final answer
    x = 11,824.20

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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.