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Finding the Fourth Proportional to 21,114.71, 31,639.23 and 7,959.90

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Solution

The fourth proportional to 21,114.71, 31,639.23 and 7,959.90 is: 11,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.71 : 31,639.23 = 7,959.90 : x
  2. Step 2: Convert to fraction form
    21,114.71/31,639.23 = 7,959.90/x
  3. Step 3: Cross multiply
    21,114.71x = 31,639.23 × 7,959.90
  4. Step 4: Simplify right side
    21,114.71x = 251,845,106.88
  5. Step 5: Solve for x
    x = 251,845,106.88/21,114.71
  6. Step 6: Final answer
    x = 11,927.47

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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.