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Finding the Fourth Proportional to 15,124.96, 20,871.25 and 8,410.18

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Solution

The fourth proportional to 15,124.96, 20,871.25 and 8,410.18 is: 11,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124.96 : 20,871.25 = 8,410.18 : x
  2. Step 2: Convert to fraction form
    15,124.96/20,871.25 = 8,410.18/x
  3. Step 3: Cross multiply
    15,124.96x = 20,871.25 × 8,410.18
  4. Step 4: Simplify right side
    15,124.96x = 175,530,969.33
  5. Step 5: Solve for x
    x = 175,530,969.33/15,124.96
  6. Step 6: Final answer
    x = 11,605.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.