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Finding the Fourth Proportional to 21,304.32, 31,961.09 and 8,156.69

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Solution

The fourth proportional to 21,304.32, 31,961.09 and 8,156.69 is: 12,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,304.32 : 31,961.09 = 8,156.69 : x
  2. Step 2: Convert to fraction form
    21,304.32/31,961.09 = 8,156.69/x
  3. Step 3: Cross multiply
    21,304.32x = 31,961.09 × 8,156.69
  4. Step 4: Simplify right side
    21,304.32x = 260,696,703.19
  5. Step 5: Solve for x
    x = 260,696,703.19/21,304.32
  6. Step 6: Final answer
    x = 12,236.80

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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.