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Finding the Fourth Proportional to 20,700.16, 31,044.96 and 6,657.28

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Solution

The fourth proportional to 20,700.16, 31,044.96 and 6,657.28 is: 9,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700.16 : 31,044.96 = 6,657.28 : x
  2. Step 2: Convert to fraction form
    20,700.16/31,044.96 = 6,657.28/x
  3. Step 3: Cross multiply
    20,700.16x = 31,044.96 × 6,657.28
  4. Step 4: Simplify right side
    20,700.16x = 206,674,991.31
  5. Step 5: Solve for x
    x = 206,674,991.31/20,700.16
  6. Step 6: Final answer
    x = 9,984.22

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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.