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Finding the Fourth Proportional to 12,153.67, 16,772.16 and 7,120.87

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Solution

The fourth proportional to 12,153.67, 16,772.16 and 7,120.87 is: 9,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.67 : 16,772.16 = 7,120.87 : x
  2. Step 2: Convert to fraction form
    12,153.67/16,772.16 = 7,120.87/x
  3. Step 3: Cross multiply
    12,153.67x = 16,772.16 × 7,120.87
  4. Step 4: Simplify right side
    12,153.67x = 119,432,370.98
  5. Step 5: Solve for x
    x = 119,432,370.98/12,153.67
  6. Step 6: Final answer
    x = 9,826.86

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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.