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Finding the Fourth Proportional to 12,317.44, 18,476.16 and 3,083.44

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Solution

The fourth proportional to 12,317.44, 18,476.16 and 3,083.44 is: 4,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.44 : 18,476.16 = 3,083.44 : x
  2. Step 2: Convert to fraction form
    12,317.44/18,476.16 = 3,083.44/x
  3. Step 3: Cross multiply
    12,317.44x = 18,476.16 × 3,083.44
  4. Step 4: Simplify right side
    12,317.44x = 56,970,130.79
  5. Step 5: Solve for x
    x = 56,970,130.79/12,317.44
  6. Step 6: Final answer
    x = 4,625.16

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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.