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Finding the Fourth Proportional to 16,776.96, 23,151.40 and 9,223

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Solution

The fourth proportional to 16,776.96, 23,151.40 and 9,223 is: 12,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776.96 : 23,151.40 = 9,223 : x
  2. Step 2: Convert to fraction form
    16,776.96/23,151.40 = 9,223/x
  3. Step 3: Cross multiply
    16,776.96x = 23,151.40 × 9,223
  4. Step 4: Simplify right side
    16,776.96x = 213,525,362.20
  5. Step 5: Solve for x
    x = 213,525,362.20/16,776.96
  6. Step 6: Final answer
    x = 12,727.30

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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.