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Finding the Fourth Proportional to 15,006.76, 20,709.32 and 8,382.76

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Solution

The fourth proportional to 15,006.76, 20,709.32 and 8,382.76 is: 11,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.76 : 20,709.32 = 8,382.76 : x
  2. Step 2: Convert to fraction form
    15,006.76/20,709.32 = 8,382.76/x
  3. Step 3: Cross multiply
    15,006.76x = 20,709.32 × 8,382.76
  4. Step 4: Simplify right side
    15,006.76x = 173,601,259.32
  5. Step 5: Solve for x
    x = 173,601,259.32/15,006.76
  6. Step 6: Final answer
    x = 11,568.20

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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.