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Finding the Fourth Proportional to 15,150, 20,904.84 and 8,776.38

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Solution

The fourth proportional to 15,150, 20,904.84 and 8,776.38 is: 12,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150 : 20,904.84 = 8,776.38 : x
  2. Step 2: Convert to fraction form
    15,150/20,904.84 = 8,776.38/x
  3. Step 3: Cross multiply
    15,150x = 20,904.84 × 8,776.38
  4. Step 4: Simplify right side
    15,150x = 183,468,819.68
  5. Step 5: Solve for x
    x = 183,468,819.68/15,150
  6. Step 6: Final answer
    x = 12,110.15

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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.