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Finding the Fourth Proportional to 13,633.88, 20,442.06 and 6,515.18

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Solution

The fourth proportional to 13,633.88, 20,442.06 and 6,515.18 is: 9,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.88 : 20,442.06 = 6,515.18 : x
  2. Step 2: Convert to fraction form
    13,633.88/20,442.06 = 6,515.18/x
  3. Step 3: Cross multiply
    13,633.88x = 20,442.06 × 6,515.18
  4. Step 4: Simplify right side
    13,633.88x = 133,183,700.47
  5. Step 5: Solve for x
    x = 133,183,700.47/13,633.88
  6. Step 6: Final answer
    x = 9,768.58

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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.