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Finding the Fourth Proportional to 12,150.67, 16,768.02 and 7,117.87

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Solution

The fourth proportional to 12,150.67, 16,768.02 and 7,117.87 is: 9,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.67 : 16,768.02 = 7,117.87 : x
  2. Step 2: Convert to fraction form
    12,150.67/16,768.02 = 7,117.87/x
  3. Step 3: Cross multiply
    12,150.67x = 16,768.02 × 7,117.87
  4. Step 4: Simplify right side
    12,150.67x = 119,352,586.52
  5. Step 5: Solve for x
    x = 119,352,586.52/12,150.67
  6. Step 6: Final answer
    x = 9,822.72

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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.