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Finding the Fourth Proportional to 13,641.66, 20,453.75 and 6,522.96

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Solution

The fourth proportional to 13,641.66, 20,453.75 and 6,522.96 is: 9,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.66 : 20,453.75 = 6,522.96 : x
  2. Step 2: Convert to fraction form
    13,641.66/20,453.75 = 6,522.96/x
  3. Step 3: Cross multiply
    13,641.66x = 20,453.75 × 6,522.96
  4. Step 4: Simplify right side
    13,641.66x = 133,418,993.10
  5. Step 5: Solve for x
    x = 133,418,993.10/13,641.66
  6. Step 6: Final answer
    x = 9,780.26

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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.