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Finding the Fourth Proportional to 13,151.30, 18,151.16 and 7,846.47

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Solution

The fourth proportional to 13,151.30, 18,151.16 and 7,846.47 is: 10,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.30 : 18,151.16 = 7,846.47 : x
  2. Step 2: Convert to fraction form
    13,151.30/18,151.16 = 7,846.47/x
  3. Step 3: Cross multiply
    13,151.30x = 18,151.16 × 7,846.47
  4. Step 4: Simplify right side
    13,151.30x = 142,422,493.17
  5. Step 5: Solve for x
    x = 142,422,493.17/13,151.30
  6. Step 6: Final answer
    x = 10,829.54

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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.