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Finding the Fourth Proportional to 23,652.95, 35,470.73 and 7,855.11

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Solution

The fourth proportional to 23,652.95, 35,470.73 and 7,855.11 is: 11,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652.95 : 35,470.73 = 7,855.11 : x
  2. Step 2: Convert to fraction form
    23,652.95/35,470.73 = 7,855.11/x
  3. Step 3: Cross multiply
    23,652.95x = 35,470.73 × 7,855.11
  4. Step 4: Simplify right side
    23,652.95x = 278,626,505.57
  5. Step 5: Solve for x
    x = 278,626,505.57/23,652.95
  6. Step 6: Final answer
    x = 11,779.78

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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.