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Finding the Fourth Proportional to 12,149.56, 18,195.61 and 9,498.50

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Solution

The fourth proportional to 12,149.56, 18,195.61 and 9,498.50 is: 14,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.56 : 18,195.61 = 9,498.50 : x
  2. Step 2: Convert to fraction form
    12,149.56/18,195.61 = 9,498.50/x
  3. Step 3: Cross multiply
    12,149.56x = 18,195.61 × 9,498.50
  4. Step 4: Simplify right side
    12,149.56x = 172,831,001.59
  5. Step 5: Solve for x
    x = 172,831,001.59/12,149.56
  6. Step 6: Final answer
    x = 14,225.29

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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.