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Finding the Fourth Proportional to 12,777.40, 17,632.02 and 7,471.90

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Solution

The fourth proportional to 12,777.40, 17,632.02 and 7,471.90 is: 10,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.40 : 17,632.02 = 7,471.90 : x
  2. Step 2: Convert to fraction form
    12,777.40/17,632.02 = 7,471.90/x
  3. Step 3: Cross multiply
    12,777.40x = 17,632.02 × 7,471.90
  4. Step 4: Simplify right side
    12,777.40x = 131,744,690.24
  5. Step 5: Solve for x
    x = 131,744,690.24/12,777.40
  6. Step 6: Final answer
    x = 10,310.76

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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.