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Finding the Fourth Proportional to 13,200.05, 19,801.89 and 10,086

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Solution

The fourth proportional to 13,200.05, 19,801.89 and 10,086 is: 15,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.05 : 19,801.89 = 10,086 : x
  2. Step 2: Convert to fraction form
    13,200.05/19,801.89 = 10,086/x
  3. Step 3: Cross multiply
    13,200.05x = 19,801.89 × 10,086
  4. Step 4: Simplify right side
    13,200.05x = 199,721,862.54
  5. Step 5: Solve for x
    x = 199,721,862.54/13,200.05
  6. Step 6: Final answer
    x = 15,130.39

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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.