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Finding the Fourth Proportional to 13,209.09, 19,820.09 and 5,812.62

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Solution

The fourth proportional to 13,209.09, 19,820.09 and 5,812.62 is: 8,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.09 : 19,820.09 = 5,812.62 : x
  2. Step 2: Convert to fraction form
    13,209.09/19,820.09 = 5,812.62/x
  3. Step 3: Cross multiply
    13,209.09x = 19,820.09 × 5,812.62
  4. Step 4: Simplify right side
    13,209.09x = 115,206,622.47
  5. Step 5: Solve for x
    x = 115,206,622.47/13,209.09
  6. Step 6: Final answer
    x = 8,721.77

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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.