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Finding the Fourth Proportional to 20,498.90, 30,765.06 and 10,640.99

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Solution

The fourth proportional to 20,498.90, 30,765.06 and 10,640.99 is: 15,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.90 : 30,765.06 = 10,640.99 : x
  2. Step 2: Convert to fraction form
    20,498.90/30,765.06 = 10,640.99/x
  3. Step 3: Cross multiply
    20,498.90x = 30,765.06 × 10,640.99
  4. Step 4: Simplify right side
    20,498.90x = 327,370,772.72
  5. Step 5: Solve for x
    x = 327,370,772.72/20,498.90
  6. Step 6: Final answer
    x = 15,970.17

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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.