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Finding the Fourth Proportional to 20,072.16, 27,695.52 and 11,572.80

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Solution

The fourth proportional to 20,072.16, 27,695.52 and 11,572.80 is: 15,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.16 : 27,695.52 = 11,572.80 : x
  2. Step 2: Convert to fraction form
    20,072.16/27,695.52 = 11,572.80/x
  3. Step 3: Cross multiply
    20,072.16x = 27,695.52 × 11,572.80
  4. Step 4: Simplify right side
    20,072.16x = 320,514,713.86
  5. Step 5: Solve for x
    x = 320,514,713.86/20,072.16
  6. Step 6: Final answer
    x = 15,968.12

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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.