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Finding the Fourth Proportional to 22,523.04, 33,776.16 and 7,727.76

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Solution

The fourth proportional to 22,523.04, 33,776.16 and 7,727.76 is: 11,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.04 : 33,776.16 = 7,727.76 : x
  2. Step 2: Convert to fraction form
    22,523.04/33,776.16 = 7,727.76/x
  3. Step 3: Cross multiply
    22,523.04x = 33,776.16 × 7,727.76
  4. Step 4: Simplify right side
    22,523.04x = 261,014,058.20
  5. Step 5: Solve for x
    x = 261,014,058.20/22,523.04
  6. Step 6: Final answer
    x = 11,588.76

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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.