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Finding the Fourth Proportional to 13,499.84, 20,216.28 and 9,344

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Solution

The fourth proportional to 13,499.84, 20,216.28 and 9,344 is: 13,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.84 : 20,216.28 = 9,344 : x
  2. Step 2: Convert to fraction form
    13,499.84/20,216.28 = 9,344/x
  3. Step 3: Cross multiply
    13,499.84x = 20,216.28 × 9,344
  4. Step 4: Simplify right side
    13,499.84x = 188,900,920.32
  5. Step 5: Solve for x
    x = 188,900,920.32/13,499.84
  6. Step 6: Final answer
    x = 13,992.83

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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.