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Finding the Fourth Proportional to 13,036.84, 17,986.12 and 8,563

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Solution

The fourth proportional to 13,036.84, 17,986.12 and 8,563 is: 11,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036.84 : 17,986.12 = 8,563 : x
  2. Step 2: Convert to fraction form
    13,036.84/17,986.12 = 8,563/x
  3. Step 3: Cross multiply
    13,036.84x = 17,986.12 × 8,563
  4. Step 4: Simplify right side
    13,036.84x = 154,015,145.56
  5. Step 5: Solve for x
    x = 154,015,145.56/13,036.84
  6. Step 6: Final answer
    x = 11,813.84

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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.