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Finding the Fourth Proportional to 20,705.72, 31,049.05 and 6,663.15

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Solution

The fourth proportional to 20,705.72, 31,049.05 and 6,663.15 is: 9,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.72 : 31,049.05 = 6,663.15 : x
  2. Step 2: Convert to fraction form
    20,705.72/31,049.05 = 6,663.15/x
  3. Step 3: Cross multiply
    20,705.72x = 31,049.05 × 6,663.15
  4. Step 4: Simplify right side
    20,705.72x = 206,884,477.51
  5. Step 5: Solve for x
    x = 206,884,477.51/20,705.72
  6. Step 6: Final answer
    x = 9,991.66

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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.