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Finding the Fourth Proportional to 12,572.60, 18,858.90 and 8,166.20

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Solution

The fourth proportional to 12,572.60, 18,858.90 and 8,166.20 is: 12,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.60 : 18,858.90 = 8,166.20 : x
  2. Step 2: Convert to fraction form
    12,572.60/18,858.90 = 8,166.20/x
  3. Step 3: Cross multiply
    12,572.60x = 18,858.90 × 8,166.20
  4. Step 4: Simplify right side
    12,572.60x = 154,005,549.18
  5. Step 5: Solve for x
    x = 154,005,549.18/12,572.60
  6. Step 6: Final answer
    x = 12,249.30

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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.