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Finding the Fourth Proportional to 18,008.60, 27,000.60 and 8,142.50

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Solution

The fourth proportional to 18,008.60, 27,000.60 and 8,142.50 is: 12,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,008.60 : 27,000.60 = 8,142.50 : x
  2. Step 2: Convert to fraction form
    18,008.60/27,000.60 = 8,142.50/x
  3. Step 3: Cross multiply
    18,008.60x = 27,000.60 × 8,142.50
  4. Step 4: Simplify right side
    18,008.60x = 219,852,385.50
  5. Step 5: Solve for x
    x = 219,852,385.50/18,008.60
  6. Step 6: Final answer
    x = 12,208.19

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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.