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Finding the Fourth Proportional to 12,004.14, 16,557.84 and 7,291.20

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Solution

The fourth proportional to 12,004.14, 16,557.84 and 7,291.20 is: 10,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.14 : 16,557.84 = 7,291.20 : x
  2. Step 2: Convert to fraction form
    12,004.14/16,557.84 = 7,291.20/x
  3. Step 3: Cross multiply
    12,004.14x = 16,557.84 × 7,291.20
  4. Step 4: Simplify right side
    12,004.14x = 120,726,523.01
  5. Step 5: Solve for x
    x = 120,726,523.01/12,004.14
  6. Step 6: Final answer
    x = 10,057.07

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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.