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Finding the Fourth Proportional to 20,162.76, 27,788.40 and 16,398.36

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Solution

The fourth proportional to 20,162.76, 27,788.40 and 16,398.36 is: 22,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.76 : 27,788.40 = 16,398.36 : x
  2. Step 2: Convert to fraction form
    20,162.76/27,788.40 = 16,398.36/x
  3. Step 3: Cross multiply
    20,162.76x = 27,788.40 × 16,398.36
  4. Step 4: Simplify right side
    20,162.76x = 455,684,187.02
  5. Step 5: Solve for x
    x = 455,684,187.02/20,162.76
  6. Step 6: Final answer
    x = 22,600.29

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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.