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Finding the Fourth Proportional to 13,509.29, 18,644.51 and 8,202.71

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Solution

The fourth proportional to 13,509.29, 18,644.51 and 8,202.71 is: 11,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.29 : 18,644.51 = 8,202.71 : x
  2. Step 2: Convert to fraction form
    13,509.29/18,644.51 = 8,202.71/x
  3. Step 3: Cross multiply
    13,509.29x = 18,644.51 × 8,202.71
  4. Step 4: Simplify right side
    13,509.29x = 152,935,508.62
  5. Step 5: Solve for x
    x = 152,935,508.62/13,509.29
  6. Step 6: Final answer
    x = 11,320.77

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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.