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Finding the Fourth Proportional to 12,207.70, 18,320.37 and 9,441.10

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Solution

The fourth proportional to 12,207.70, 18,320.37 and 9,441.10 is: 14,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.70 : 18,320.37 = 9,441.10 : x
  2. Step 2: Convert to fraction form
    12,207.70/18,320.37 = 9,441.10/x
  3. Step 3: Cross multiply
    12,207.70x = 18,320.37 × 9,441.10
  4. Step 4: Simplify right side
    12,207.70x = 172,964,445.21
  5. Step 5: Solve for x
    x = 172,964,445.21/12,207.70
  6. Step 6: Final answer
    x = 14,168.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.