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Finding the Fourth Proportional to 20,770.57, 31,156.53 and 5,980.24

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Solution

The fourth proportional to 20,770.57, 31,156.53 and 5,980.24 is: 8,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.57 : 31,156.53 = 5,980.24 : x
  2. Step 2: Convert to fraction form
    20,770.57/31,156.53 = 5,980.24/x
  3. Step 3: Cross multiply
    20,770.57x = 31,156.53 × 5,980.24
  4. Step 4: Simplify right side
    20,770.57x = 186,323,526.97
  5. Step 5: Solve for x
    x = 186,323,526.97/20,770.57
  6. Step 6: Final answer
    x = 8,970.55

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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.