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Finding the Fourth Proportional to 13,465.60, 20,176.80 and 8,843.20

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Solution

The fourth proportional to 13,465.60, 20,176.80 and 8,843.20 is: 13,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.60 : 20,176.80 = 8,843.20 : x
  2. Step 2: Convert to fraction form
    13,465.60/20,176.80 = 8,843.20/x
  3. Step 3: Cross multiply
    13,465.60x = 20,176.80 × 8,843.20
  4. Step 4: Simplify right side
    13,465.60x = 178,427,477.76
  5. Step 5: Solve for x
    x = 178,427,477.76/13,465.60
  6. Step 6: Final answer
    x = 13,250.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.