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Finding the Fourth Proportional to 13,151.01, 18,149.70 and 7,845.83

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Solution

The fourth proportional to 13,151.01, 18,149.70 and 7,845.83 is: 10,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.01 : 18,149.70 = 7,845.83 : x
  2. Step 2: Convert to fraction form
    13,151.01/18,149.70 = 7,845.83/x
  3. Step 3: Cross multiply
    13,151.01x = 18,149.70 × 7,845.83
  4. Step 4: Simplify right side
    13,151.01x = 142,399,467.49
  5. Step 5: Solve for x
    x = 142,399,467.49/13,151.01
  6. Step 6: Final answer
    x = 10,828.02

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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.