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Finding the Fourth Proportional to 13,310.52, 19,968 and 6,647.32

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Solution

The fourth proportional to 13,310.52, 19,968 and 6,647.32 is: 9,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.52 : 19,968 = 6,647.32 : x
  2. Step 2: Convert to fraction form
    13,310.52/19,968 = 6,647.32/x
  3. Step 3: Cross multiply
    13,310.52x = 19,968 × 6,647.32
  4. Step 4: Simplify right side
    13,310.52x = 132,733,685.76
  5. Step 5: Solve for x
    x = 132,733,685.76/13,310.52
  6. Step 6: Final answer
    x = 9,972.09

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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.