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Finding the Fourth Proportional to 21,122.96, 31,680.76 and 7,081.60

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Solution

The fourth proportional to 21,122.96, 31,680.76 and 7,081.60 is: 10,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.96 : 31,680.76 = 7,081.60 : x
  2. Step 2: Convert to fraction form
    21,122.96/31,680.76 = 7,081.60/x
  3. Step 3: Cross multiply
    21,122.96x = 31,680.76 × 7,081.60
  4. Step 4: Simplify right side
    21,122.96x = 224,350,470.02
  5. Step 5: Solve for x
    x = 224,350,470.02/21,122.96
  6. Step 6: Final answer
    x = 10,621.17

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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.