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Finding the Fourth Proportional to 13,885.72, 20,820.37 and 5,569.65

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Solution

The fourth proportional to 13,885.72, 20,820.37 and 5,569.65 is: 8,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.72 : 20,820.37 = 5,569.65 : x
  2. Step 2: Convert to fraction form
    13,885.72/20,820.37 = 5,569.65/x
  3. Step 3: Cross multiply
    13,885.72x = 20,820.37 × 5,569.65
  4. Step 4: Simplify right side
    13,885.72x = 115,962,173.77
  5. Step 5: Solve for x
    x = 115,962,173.77/13,885.72
  6. Step 6: Final answer
    x = 8,351.18

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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.