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Finding the Fourth Proportional to 18,125.10, 27,199.80 and 8,259.30

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Solution

The fourth proportional to 18,125.10, 27,199.80 and 8,259.30 is: 12,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,125.10 : 27,199.80 = 8,259.30 : x
  2. Step 2: Convert to fraction form
    18,125.10/27,199.80 = 8,259.30/x
  3. Step 3: Cross multiply
    18,125.10x = 27,199.80 × 8,259.30
  4. Step 4: Simplify right side
    18,125.10x = 224,651,308.14
  5. Step 5: Solve for x
    x = 224,651,308.14/18,125.10
  6. Step 6: Final answer
    x = 12,394.49

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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.