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Finding the Fourth Proportional to 20,861, 31,291.16 and 5,066.16

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Solution

The fourth proportional to 20,861, 31,291.16 and 5,066.16 is: 7,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861 : 31,291.16 = 5,066.16 : x
  2. Step 2: Convert to fraction form
    20,861/31,291.16 = 5,066.16/x
  3. Step 3: Cross multiply
    20,861x = 31,291.16 × 5,066.16
  4. Step 4: Simplify right side
    20,861x = 158,526,023.15
  5. Step 5: Solve for x
    x = 158,526,023.15/20,861
  6. Step 6: Final answer
    x = 7,599.16

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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.