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Finding the Fourth Proportional to 21,114.21, 31,638.48 and 7,959.40

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Solution

The fourth proportional to 21,114.21, 31,638.48 and 7,959.40 is: 11,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.21 : 31,638.48 = 7,959.40 : x
  2. Step 2: Convert to fraction form
    21,114.21/31,638.48 = 7,959.40/x
  3. Step 3: Cross multiply
    21,114.21x = 31,638.48 × 7,959.40
  4. Step 4: Simplify right side
    21,114.21x = 251,823,317.71
  5. Step 5: Solve for x
    x = 251,823,317.71/21,114.21
  6. Step 6: Final answer
    x = 11,926.72

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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.