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Finding the Fourth Proportional to 12,851.92, 17,735.52 and 8,140.06

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Solution

The fourth proportional to 12,851.92, 17,735.52 and 8,140.06 is: 11,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.92 : 17,735.52 = 8,140.06 : x
  2. Step 2: Convert to fraction form
    12,851.92/17,735.52 = 8,140.06/x
  3. Step 3: Cross multiply
    12,851.92x = 17,735.52 × 8,140.06
  4. Step 4: Simplify right side
    12,851.92x = 144,368,196.93
  5. Step 5: Solve for x
    x = 144,368,196.93/12,851.92
  6. Step 6: Final answer
    x = 11,233.20

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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.