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Finding the Fourth Proportional to 13,243.64, 19,869.78 and 6,317.24

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Solution

The fourth proportional to 13,243.64, 19,869.78 and 6,317.24 is: 9,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.64 : 19,869.78 = 6,317.24 : x
  2. Step 2: Convert to fraction form
    13,243.64/19,869.78 = 6,317.24/x
  3. Step 3: Cross multiply
    13,243.64x = 19,869.78 × 6,317.24
  4. Step 4: Simplify right side
    13,243.64x = 125,522,169.01
  5. Step 5: Solve for x
    x = 125,522,169.01/13,243.64
  6. Step 6: Final answer
    x = 9,477.92

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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.