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Finding the Fourth Proportional to 12,174.16, 16,799.91 and 7,639.29

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Solution

The fourth proportional to 12,174.16, 16,799.91 and 7,639.29 is: 10,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.16 : 16,799.91 = 7,639.29 : x
  2. Step 2: Convert to fraction form
    12,174.16/16,799.91 = 7,639.29/x
  3. Step 3: Cross multiply
    12,174.16x = 16,799.91 × 7,639.29
  4. Step 4: Simplify right side
    12,174.16x = 128,339,262.27
  5. Step 5: Solve for x
    x = 128,339,262.27/12,174.16
  6. Step 6: Final answer
    x = 10,541.94

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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.