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Finding the Fourth Proportional to 14,383.80, 21,578.36 and 5,618.16

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Solution

The fourth proportional to 14,383.80, 21,578.36 and 5,618.16 is: 8,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.80 : 21,578.36 = 5,618.16 : x
  2. Step 2: Convert to fraction form
    14,383.80/21,578.36 = 5,618.16/x
  3. Step 3: Cross multiply
    14,383.80x = 21,578.36 × 5,618.16
  4. Step 4: Simplify right side
    14,383.80x = 121,230,679.02
  5. Step 5: Solve for x
    x = 121,230,679.02/14,383.80
  6. Step 6: Final answer
    x = 8,428.28

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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.