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Finding the Fourth Proportional to 12,230.10, 18,338.94 and 5,207.40

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Solution

The fourth proportional to 12,230.10, 18,338.94 and 5,207.40 is: 7,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.10 : 18,338.94 = 5,207.40 : x
  2. Step 2: Convert to fraction form
    12,230.10/18,338.94 = 5,207.40/x
  3. Step 3: Cross multiply
    12,230.10x = 18,338.94 × 5,207.40
  4. Step 4: Simplify right side
    12,230.10x = 95,498,196.16
  5. Step 5: Solve for x
    x = 95,498,196.16/12,230.10
  6. Step 6: Final answer
    x = 7,808.46

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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.