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Finding the Fourth Proportional to 12,143.20, 16,758.84 and 7,365.64

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Solution

The fourth proportional to 12,143.20, 16,758.84 and 7,365.64 is: 10,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.20 : 16,758.84 = 7,365.64 : x
  2. Step 2: Convert to fraction form
    12,143.20/16,758.84 = 7,365.64/x
  3. Step 3: Cross multiply
    12,143.20x = 16,758.84 × 7,365.64
  4. Step 4: Simplify right side
    12,143.20x = 123,439,582.26
  5. Step 5: Solve for x
    x = 123,439,582.26/12,143.20
  6. Step 6: Final answer
    x = 10,165.33

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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.