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Finding the Fourth Proportional to 13,183.32, 19,774.47 and 3,322.47

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Solution

The fourth proportional to 13,183.32, 19,774.47 and 3,322.47 is: 4,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.32 : 19,774.47 = 3,322.47 : x
  2. Step 2: Convert to fraction form
    13,183.32/19,774.47 = 3,322.47/x
  3. Step 3: Cross multiply
    13,183.32x = 19,774.47 × 3,322.47
  4. Step 4: Simplify right side
    13,183.32x = 65,700,083.34
  5. Step 5: Solve for x
    x = 65,700,083.34/13,183.32
  6. Step 6: Final answer
    x = 4,983.58

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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.