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Finding the Fourth Proportional to 15,101.87, 22,659.75 and 6,784.11

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Solution

The fourth proportional to 15,101.87, 22,659.75 and 6,784.11 is: 10,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.87 : 22,659.75 = 6,784.11 : x
  2. Step 2: Convert to fraction form
    15,101.87/22,659.75 = 6,784.11/x
  3. Step 3: Cross multiply
    15,101.87x = 22,659.75 × 6,784.11
  4. Step 4: Simplify right side
    15,101.87x = 153,726,236.57
  5. Step 5: Solve for x
    x = 153,726,236.57/15,101.87
  6. Step 6: Final answer
    x = 10,179.29

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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.