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Finding the Fourth Proportional to 21,179.68, 31,747.10 and 7,844.08

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Solution

The fourth proportional to 21,179.68, 31,747.10 and 7,844.08 is: 11,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179.68 : 31,747.10 = 7,844.08 : x
  2. Step 2: Convert to fraction form
    21,179.68/31,747.10 = 7,844.08/x
  3. Step 3: Cross multiply
    21,179.68x = 31,747.10 × 7,844.08
  4. Step 4: Simplify right side
    21,179.68x = 249,026,792.17
  5. Step 5: Solve for x
    x = 249,026,792.17/21,179.68
  6. Step 6: Final answer
    x = 11,757.82

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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.