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Finding the Fourth Proportional to 13,830.18, 20,725.83 and 6,022.62

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Solution

The fourth proportional to 13,830.18, 20,725.83 and 6,022.62 is: 9,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.18 : 20,725.83 = 6,022.62 : x
  2. Step 2: Convert to fraction form
    13,830.18/20,725.83 = 6,022.62/x
  3. Step 3: Cross multiply
    13,830.18x = 20,725.83 × 6,022.62
  4. Step 4: Simplify right side
    13,830.18x = 124,823,798.27
  5. Step 5: Solve for x
    x = 124,823,798.27/13,830.18
  6. Step 6: Final answer
    x = 9,025.46

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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.