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Finding the Fourth Proportional to 15,200.31, 22,805.73 and 5,340.99

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Solution

The fourth proportional to 15,200.31, 22,805.73 and 5,340.99 is: 8,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.31 : 22,805.73 = 5,340.99 : x
  2. Step 2: Convert to fraction form
    15,200.31/22,805.73 = 5,340.99/x
  3. Step 3: Cross multiply
    15,200.31x = 22,805.73 × 5,340.99
  4. Step 4: Simplify right side
    15,200.31x = 121,805,175.87
  5. Step 5: Solve for x
    x = 121,805,175.87/15,200.31
  6. Step 6: Final answer
    x = 8,013.33

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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.