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Finding the Fourth Proportional to 13,228.65, 19,837.85 and 6,650.24

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Solution

The fourth proportional to 13,228.65, 19,837.85 and 6,650.24 is: 9,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.65 : 19,837.85 = 6,650.24 : x
  2. Step 2: Convert to fraction form
    13,228.65/19,837.85 = 6,650.24/x
  3. Step 3: Cross multiply
    13,228.65x = 19,837.85 × 6,650.24
  4. Step 4: Simplify right side
    13,228.65x = 131,926,331.14
  5. Step 5: Solve for x
    x = 131,926,331.14/13,228.65
  6. Step 6: Final answer
    x = 9,972.77

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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.