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Finding the Fourth Proportional to 20,657.40, 30,982.74 and 5,862.63

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Solution

The fourth proportional to 20,657.40, 30,982.74 and 5,862.63 is: 8,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.40 : 30,982.74 = 5,862.63 : x
  2. Step 2: Convert to fraction form
    20,657.40/30,982.74 = 5,862.63/x
  3. Step 3: Cross multiply
    20,657.40x = 30,982.74 × 5,862.63
  4. Step 4: Simplify right side
    20,657.40x = 181,640,341.01
  5. Step 5: Solve for x
    x = 181,640,341.01/20,657.40
  6. Step 6: Final answer
    x = 8,792.99

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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.