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Finding the Fourth Proportional to 12,111.78, 18,176.06 and 4,716.30

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Solution

The fourth proportional to 12,111.78, 18,176.06 and 4,716.30 is: 7,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.78 : 18,176.06 = 4,716.30 : x
  2. Step 2: Convert to fraction form
    12,111.78/18,176.06 = 4,716.30/x
  3. Step 3: Cross multiply
    12,111.78x = 18,176.06 × 4,716.30
  4. Step 4: Simplify right side
    12,111.78x = 85,723,751.78
  5. Step 5: Solve for x
    x = 85,723,751.78/12,111.78
  6. Step 6: Final answer
    x = 7,077.72

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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.