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Finding the Fourth Proportional to 20,792.26, 31,188.12 and 5,210.02

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Solution

The fourth proportional to 20,792.26, 31,188.12 and 5,210.02 is: 7,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.26 : 31,188.12 = 5,210.02 : x
  2. Step 2: Convert to fraction form
    20,792.26/31,188.12 = 5,210.02/x
  3. Step 3: Cross multiply
    20,792.26x = 31,188.12 × 5,210.02
  4. Step 4: Simplify right side
    20,792.26x = 162,490,728.96
  5. Step 5: Solve for x
    x = 162,490,728.96/20,792.26
  6. Step 6: Final answer
    x = 7,814.96

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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.