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Finding the Fourth Proportional to 20,295.71, 30,443.57 and 13,281.63

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Solution

The fourth proportional to 20,295.71, 30,443.57 and 13,281.63 is: 19,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.71 : 30,443.57 = 13,281.63 : x
  2. Step 2: Convert to fraction form
    20,295.71/30,443.57 = 13,281.63/x
  3. Step 3: Cross multiply
    20,295.71x = 30,443.57 × 13,281.63
  4. Step 4: Simplify right side
    20,295.71x = 404,340,166.21
  5. Step 5: Solve for x
    x = 404,340,166.21/20,295.71
  6. Step 6: Final answer
    x = 19,922.45

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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.