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Finding the Fourth Proportional to 20,830.13, 31,247.64 and 7,317.15

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Solution

The fourth proportional to 20,830.13, 31,247.64 and 7,317.15 is: 10,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.13 : 31,247.64 = 7,317.15 : x
  2. Step 2: Convert to fraction form
    20,830.13/31,247.64 = 7,317.15/x
  3. Step 3: Cross multiply
    20,830.13x = 31,247.64 × 7,317.15
  4. Step 4: Simplify right side
    20,830.13x = 228,643,669.03
  5. Step 5: Solve for x
    x = 228,643,669.03/20,830.13
  6. Step 6: Final answer
    x = 10,976.59

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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.