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Finding the Fourth Proportional to 20,748.96, 31,127.76 and 6,899.04

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Solution

The fourth proportional to 20,748.96, 31,127.76 and 6,899.04 is: 10,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,748.96 : 31,127.76 = 6,899.04 : x
  2. Step 2: Convert to fraction form
    20,748.96/31,127.76 = 6,899.04/x
  3. Step 3: Cross multiply
    20,748.96x = 31,127.76 × 6,899.04
  4. Step 4: Simplify right side
    20,748.96x = 214,751,661.35
  5. Step 5: Solve for x
    x = 214,751,661.35/20,748.96
  6. Step 6: Final answer
    x = 10,350.00

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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.