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Finding the Fourth Proportional to 12,214.96, 16,856.48 and 7,179.73

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Solution

The fourth proportional to 12,214.96, 16,856.48 and 7,179.73 is: 9,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.96 : 16,856.48 = 7,179.73 : x
  2. Step 2: Convert to fraction form
    12,214.96/16,856.48 = 7,179.73/x
  3. Step 3: Cross multiply
    12,214.96x = 16,856.48 × 7,179.73
  4. Step 4: Simplify right side
    12,214.96x = 121,024,950.96
  5. Step 5: Solve for x
    x = 121,024,950.96/12,214.96
  6. Step 6: Final answer
    x = 9,907.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.