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Finding the Fourth Proportional to 23,677.95, 35,522.70 and 7,882.95

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Solution

The fourth proportional to 23,677.95, 35,522.70 and 7,882.95 is: 11,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.95 : 35,522.70 = 7,882.95 : x
  2. Step 2: Convert to fraction form
    23,677.95/35,522.70 = 7,882.95/x
  3. Step 3: Cross multiply
    23,677.95x = 35,522.70 × 7,882.95
  4. Step 4: Simplify right side
    23,677.95x = 280,023,667.97
  5. Step 5: Solve for x
    x = 280,023,667.97/23,677.95
  6. Step 6: Final answer
    x = 11,826.35

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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.