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Finding the Fourth Proportional to 13,036.14, 17,998.50 and 8,076.78

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Solution

The fourth proportional to 13,036.14, 17,998.50 and 8,076.78 is: 11,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036.14 : 17,998.50 = 8,076.78 : x
  2. Step 2: Convert to fraction form
    13,036.14/17,998.50 = 8,076.78/x
  3. Step 3: Cross multiply
    13,036.14x = 17,998.50 × 8,076.78
  4. Step 4: Simplify right side
    13,036.14x = 145,369,924.83
  5. Step 5: Solve for x
    x = 145,369,924.83/13,036.14
  6. Step 6: Final answer
    x = 11,151.30

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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.