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Finding the Fourth Proportional to 20,457.78, 30,686.71 and 6,418.92

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Solution

The fourth proportional to 20,457.78, 30,686.71 and 6,418.92 is: 9,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.78 : 30,686.71 = 6,418.92 : x
  2. Step 2: Convert to fraction form
    20,457.78/30,686.71 = 6,418.92/x
  3. Step 3: Cross multiply
    20,457.78x = 30,686.71 × 6,418.92
  4. Step 4: Simplify right side
    20,457.78x = 196,975,536.55
  5. Step 5: Solve for x
    x = 196,975,536.55/20,457.78
  6. Step 6: Final answer
    x = 9,628.39

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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.