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Finding the Fourth Proportional to 21,241.30, 31,838.84 and 10,686.04

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Solution

The fourth proportional to 21,241.30, 31,838.84 and 10,686.04 is: 16,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241.30 : 31,838.84 = 10,686.04 : x
  2. Step 2: Convert to fraction form
    21,241.30/31,838.84 = 10,686.04/x
  3. Step 3: Cross multiply
    21,241.30x = 31,838.84 × 10,686.04
  4. Step 4: Simplify right side
    21,241.30x = 340,231,117.79
  5. Step 5: Solve for x
    x = 340,231,117.79/21,241.30
  6. Step 6: Final answer
    x = 16,017.43

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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.