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Finding the Fourth Proportional to 12,225.30, 18,305.10 and 7,758.78

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Solution

The fourth proportional to 12,225.30, 18,305.10 and 7,758.78 is: 11,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.30 : 18,305.10 = 7,758.78 : x
  2. Step 2: Convert to fraction form
    12,225.30/18,305.10 = 7,758.78/x
  3. Step 3: Cross multiply
    12,225.30x = 18,305.10 × 7,758.78
  4. Step 4: Simplify right side
    12,225.30x = 142,025,283.33
  5. Step 5: Solve for x
    x = 142,025,283.33/12,225.30
  6. Step 6: Final answer
    x = 11,617.33

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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.