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Finding the Fourth Proportional to 13,016.67, 19,509.57 and 5,990.85

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Solution

The fourth proportional to 13,016.67, 19,509.57 and 5,990.85 is: 8,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.67 : 19,509.57 = 5,990.85 : x
  2. Step 2: Convert to fraction form
    13,016.67/19,509.57 = 5,990.85/x
  3. Step 3: Cross multiply
    13,016.67x = 19,509.57 × 5,990.85
  4. Step 4: Simplify right side
    13,016.67x = 116,878,907.43
  5. Step 5: Solve for x
    x = 116,878,907.43/13,016.67
  6. Step 6: Final answer
    x = 8,979.17

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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.