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Finding the Fourth Proportional to 21,209.83, 31,814.82 and 7,169.96

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Solution

The fourth proportional to 21,209.83, 31,814.82 and 7,169.96 is: 10,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.83 : 31,814.82 = 7,169.96 : x
  2. Step 2: Convert to fraction form
    21,209.83/31,814.82 = 7,169.96/x
  3. Step 3: Cross multiply
    21,209.83x = 31,814.82 × 7,169.96
  4. Step 4: Simplify right side
    21,209.83x = 228,111,066.34
  5. Step 5: Solve for x
    x = 228,111,066.34/21,209.83
  6. Step 6: Final answer
    x = 10,754.97

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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.