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Finding the Fourth Proportional to 20,308.06, 30,466.89 and 6,457.06

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Solution

The fourth proportional to 20,308.06, 30,466.89 and 6,457.06 is: 9,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.06 : 30,466.89 = 6,457.06 : x
  2. Step 2: Convert to fraction form
    20,308.06/30,466.89 = 6,457.06/x
  3. Step 3: Cross multiply
    20,308.06x = 30,466.89 × 6,457.06
  4. Step 4: Simplify right side
    20,308.06x = 196,726,536.74
  5. Step 5: Solve for x
    x = 196,726,536.74/20,308.06
  6. Step 6: Final answer
    x = 9,687.12

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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.