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Finding the Fourth Proportional to 14,593.68, 20,140.76 and 8,627.28

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Solution

The fourth proportional to 14,593.68, 20,140.76 and 8,627.28 is: 11,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.68 : 20,140.76 = 8,627.28 : x
  2. Step 2: Convert to fraction form
    14,593.68/20,140.76 = 8,627.28/x
  3. Step 3: Cross multiply
    14,593.68x = 20,140.76 × 8,627.28
  4. Step 4: Simplify right side
    14,593.68x = 173,759,975.93
  5. Step 5: Solve for x
    x = 173,759,975.93/14,593.68
  6. Step 6: Final answer
    x = 11,906.52

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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.