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Finding the Fourth Proportional to 20,809.51, 31,216.19 and 6,768.97

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Solution

The fourth proportional to 20,809.51, 31,216.19 and 6,768.97 is: 10,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.51 : 31,216.19 = 6,768.97 : x
  2. Step 2: Convert to fraction form
    20,809.51/31,216.19 = 6,768.97/x
  3. Step 3: Cross multiply
    20,809.51x = 31,216.19 × 6,768.97
  4. Step 4: Simplify right side
    20,809.51x = 211,301,341.74
  5. Step 5: Solve for x
    x = 211,301,341.74/20,809.51
  6. Step 6: Final answer
    x = 10,154.08

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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.