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Finding the Fourth Proportional to 20,948.40, 31,422.60 and 9,851.40

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Solution

The fourth proportional to 20,948.40, 31,422.60 and 9,851.40 is: 14,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,948.40 : 31,422.60 = 9,851.40 : x
  2. Step 2: Convert to fraction form
    20,948.40/31,422.60 = 9,851.40/x
  3. Step 3: Cross multiply
    20,948.40x = 31,422.60 × 9,851.40
  4. Step 4: Simplify right side
    20,948.40x = 309,556,601.64
  5. Step 5: Solve for x
    x = 309,556,601.64/20,948.40
  6. Step 6: Final answer
    x = 14,777.10

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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.