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Finding the Fourth Proportional to 13,238.69, 19,853.63 and 5,339.17

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Solution

The fourth proportional to 13,238.69, 19,853.63 and 5,339.17 is: 8,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.69 : 19,853.63 = 5,339.17 : x
  2. Step 2: Convert to fraction form
    13,238.69/19,853.63 = 5,339.17/x
  3. Step 3: Cross multiply
    13,238.69x = 19,853.63 × 5,339.17
  4. Step 4: Simplify right side
    13,238.69x = 106,001,806.42
  5. Step 5: Solve for x
    x = 106,001,806.42/13,238.69
  6. Step 6: Final answer
    x = 8,006.97

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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.