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Finding the Fourth Proportional to 12,792.38, 19,153.14 and 6,538.92

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Solution

The fourth proportional to 12,792.38, 19,153.14 and 6,538.92 is: 9,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.38 : 19,153.14 = 6,538.92 : x
  2. Step 2: Convert to fraction form
    12,792.38/19,153.14 = 6,538.92/x
  3. Step 3: Cross multiply
    12,792.38x = 19,153.14 × 6,538.92
  4. Step 4: Simplify right side
    12,792.38x = 125,240,850.21
  5. Step 5: Solve for x
    x = 125,240,850.21/12,792.38
  6. Step 6: Final answer
    x = 9,790.27

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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.