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Finding the Fourth Proportional to 15,777.30, 23,616.73 and 11,622

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Solution

The fourth proportional to 15,777.30, 23,616.73 and 11,622 is: 17,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.30 : 23,616.73 = 11,622 : x
  2. Step 2: Convert to fraction form
    15,777.30/23,616.73 = 11,622/x
  3. Step 3: Cross multiply
    15,777.30x = 23,616.73 × 11,622
  4. Step 4: Simplify right side
    15,777.30x = 274,473,636.06
  5. Step 5: Solve for x
    x = 274,473,636.06/15,777.30
  6. Step 6: Final answer
    x = 17,396.74

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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.