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Finding the Fourth Proportional to 14,651.81, 21,992.97 and 7,261.56

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Solution

The fourth proportional to 14,651.81, 21,992.97 and 7,261.56 is: 10,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.81 : 21,992.97 = 7,261.56 : x
  2. Step 2: Convert to fraction form
    14,651.81/21,992.97 = 7,261.56/x
  3. Step 3: Cross multiply
    14,651.81x = 21,992.97 × 7,261.56
  4. Step 4: Simplify right side
    14,651.81x = 159,703,271.23
  5. Step 5: Solve for x
    x = 159,703,271.23/14,651.81
  6. Step 6: Final answer
    x = 10,899.90

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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.