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Finding the Fourth Proportional to 15,927.90, 23,896.65 and 8,535.90

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Solution

The fourth proportional to 15,927.90, 23,896.65 and 8,535.90 is: 12,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.90 : 23,896.65 = 8,535.90 : x
  2. Step 2: Convert to fraction form
    15,927.90/23,896.65 = 8,535.90/x
  3. Step 3: Cross multiply
    15,927.90x = 23,896.65 × 8,535.90
  4. Step 4: Simplify right side
    15,927.90x = 203,979,414.74
  5. Step 5: Solve for x
    x = 203,979,414.74/15,927.90
  6. Step 6: Final answer
    x = 12,806.42

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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.