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Finding the Fourth Proportional to 20,162.86, 27,825.39 and 11,210.74

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Solution

The fourth proportional to 20,162.86, 27,825.39 and 11,210.74 is: 15,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.86 : 27,825.39 = 11,210.74 : x
  2. Step 2: Convert to fraction form
    20,162.86/27,825.39 = 11,210.74/x
  3. Step 3: Cross multiply
    20,162.86x = 27,825.39 × 11,210.74
  4. Step 4: Simplify right side
    20,162.86x = 311,943,017.51
  5. Step 5: Solve for x
    x = 311,943,017.51/20,162.86
  6. Step 6: Final answer
    x = 15,471.17

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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.