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Finding the Fourth Proportional to 13,669.88, 18,864.43 and 7,382.25

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Solution

The fourth proportional to 13,669.88, 18,864.43 and 7,382.25 is: 10,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.88 : 18,864.43 = 7,382.25 : x
  2. Step 2: Convert to fraction form
    13,669.88/18,864.43 = 7,382.25/x
  3. Step 3: Cross multiply
    13,669.88x = 18,864.43 × 7,382.25
  4. Step 4: Simplify right side
    13,669.88x = 139,261,919.91
  5. Step 5: Solve for x
    x = 139,261,919.91/13,669.88
  6. Step 6: Final answer
    x = 10,187.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.