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Finding the Fourth Proportional to 15,027.69, 20,731.23 and 9,724.22

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Solution

The fourth proportional to 15,027.69, 20,731.23 and 9,724.22 is: 13,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,027.69 : 20,731.23 = 9,724.22 : x
  2. Step 2: Convert to fraction form
    15,027.69/20,731.23 = 9,724.22/x
  3. Step 3: Cross multiply
    15,027.69x = 20,731.23 × 9,724.22
  4. Step 4: Simplify right side
    15,027.69x = 201,595,041.39
  5. Step 5: Solve for x
    x = 201,595,041.39/15,027.69
  6. Step 6: Final answer
    x = 13,414.91

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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.