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Finding the Fourth Proportional to 15,122.88, 20,867.76 and 8,406.81

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Solution

The fourth proportional to 15,122.88, 20,867.76 and 8,406.81 is: 11,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.88 : 20,867.76 = 8,406.81 : x
  2. Step 2: Convert to fraction form
    15,122.88/20,867.76 = 8,406.81/x
  3. Step 3: Cross multiply
    15,122.88x = 20,867.76 × 8,406.81
  4. Step 4: Simplify right side
    15,122.88x = 175,431,293.45
  5. Step 5: Solve for x
    x = 175,431,293.45/15,122.88
  6. Step 6: Final answer
    x = 11,600.39

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1.5x scale

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.