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Finding the Fourth Proportional to 13,508.29, 18,643.13 and 8,201.71

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Solution

The fourth proportional to 13,508.29, 18,643.13 and 8,201.71 is: 11,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.29 : 18,643.13 = 8,201.71 : x
  2. Step 2: Convert to fraction form
    13,508.29/18,643.13 = 8,201.71/x
  3. Step 3: Cross multiply
    13,508.29x = 18,643.13 × 8,201.71
  4. Step 4: Simplify right side
    13,508.29x = 152,905,545.75
  5. Step 5: Solve for x
    x = 152,905,545.75/13,508.29
  6. Step 6: Final answer
    x = 11,319.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.