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Finding the Fourth Proportional to 20,024.08, 27,634.88 and 11,640

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Solution

The fourth proportional to 20,024.08, 27,634.88 and 11,640 is: 16,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024.08 : 27,634.88 = 11,640 : x
  2. Step 2: Convert to fraction form
    20,024.08/27,634.88 = 11,640/x
  3. Step 3: Cross multiply
    20,024.08x = 27,634.88 × 11,640
  4. Step 4: Simplify right side
    20,024.08x = 321,670,003.20
  5. Step 5: Solve for x
    x = 321,670,003.20/20,024.08
  6. Step 6: Final answer
    x = 16,064.16

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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.