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Finding the Fourth Proportional to 15,362.20, 23,029.80 and 10,415.80

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Solution

The fourth proportional to 15,362.20, 23,029.80 and 10,415.80 is: 15,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,362.20 : 23,029.80 = 10,415.80 : x
  2. Step 2: Convert to fraction form
    15,362.20/23,029.80 = 10,415.80/x
  3. Step 3: Cross multiply
    15,362.20x = 23,029.80 × 10,415.80
  4. Step 4: Simplify right side
    15,362.20x = 239,873,790.84
  5. Step 5: Solve for x
    x = 239,873,790.84/15,362.20
  6. Step 6: Final answer
    x = 15,614.55

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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.