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Finding the Fourth Proportional to 27,086.24, 40,622.08 and 9,553.76

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Solution

The fourth proportional to 27,086.24, 40,622.08 and 9,553.76 is: 14,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,086.24 : 40,622.08 = 9,553.76 : x
  2. Step 2: Convert to fraction form
    27,086.24/40,622.08 = 9,553.76/x
  3. Step 3: Cross multiply
    27,086.24x = 40,622.08 × 9,553.76
  4. Step 4: Simplify right side
    27,086.24x = 388,093,603.02
  5. Step 5: Solve for x
    x = 388,093,603.02/27,086.24
  6. Step 6: Final answer
    x = 14,328.07

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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.