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Finding the Fourth Proportional to 12,148.56, 18,194.11 and 9,497.50

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Solution

The fourth proportional to 12,148.56, 18,194.11 and 9,497.50 is: 14,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.56 : 18,194.11 = 9,497.50 : x
  2. Step 2: Convert to fraction form
    12,148.56/18,194.11 = 9,497.50/x
  3. Step 3: Cross multiply
    12,148.56x = 18,194.11 × 9,497.50
  4. Step 4: Simplify right side
    12,148.56x = 172,798,559.73
  5. Step 5: Solve for x
    x = 172,798,559.73/12,148.56
  6. Step 6: Final answer
    x = 14,223.79

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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.