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Finding the Fourth Proportional to 12,216.75, 18,306.90 and 7,830.60

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Solution

The fourth proportional to 12,216.75, 18,306.90 and 7,830.60 is: 11,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.75 : 18,306.90 = 7,830.60 : x
  2. Step 2: Convert to fraction form
    12,216.75/18,306.90 = 7,830.60/x
  3. Step 3: Cross multiply
    12,216.75x = 18,306.90 × 7,830.60
  4. Step 4: Simplify right side
    12,216.75x = 143,354,011.14
  5. Step 5: Solve for x
    x = 143,354,011.14/12,216.75
  6. Step 6: Final answer
    x = 11,734.22

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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.