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Finding the Fourth Proportional to 20,690.42, 31,023.14 and 9,290.28

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Solution

The fourth proportional to 20,690.42, 31,023.14 and 9,290.28 is: 13,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.42 : 31,023.14 = 9,290.28 : x
  2. Step 2: Convert to fraction form
    20,690.42/31,023.14 = 9,290.28/x
  3. Step 3: Cross multiply
    20,690.42x = 31,023.14 × 9,290.28
  4. Step 4: Simplify right side
    20,690.42x = 288,213,610.63
  5. Step 5: Solve for x
    x = 288,213,610.63/20,690.42
  6. Step 6: Final answer
    x = 13,929.81

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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.