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Finding the Fourth Proportional to 20,829.42, 31,237.65 and 6,039.36

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Solution

The fourth proportional to 20,829.42, 31,237.65 and 6,039.36 is: 9,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829.42 : 31,237.65 = 6,039.36 : x
  2. Step 2: Convert to fraction form
    20,829.42/31,237.65 = 6,039.36/x
  3. Step 3: Cross multiply
    20,829.42x = 31,237.65 × 6,039.36
  4. Step 4: Simplify right side
    20,829.42x = 188,655,383.71
  5. Step 5: Solve for x
    x = 188,655,383.71/20,829.42
  6. Step 6: Final answer
    x = 9,057.16

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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.