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Finding the Fourth Proportional to 21,093.16, 31,641.90 and 7,956.58

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Solution

The fourth proportional to 21,093.16, 31,641.90 and 7,956.58 is: 11,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.16 : 31,641.90 = 7,956.58 : x
  2. Step 2: Convert to fraction form
    21,093.16/31,641.90 = 7,956.58/x
  3. Step 3: Cross multiply
    21,093.16x = 31,641.90 × 7,956.58
  4. Step 4: Simplify right side
    21,093.16x = 251,761,308.70
  5. Step 5: Solve for x
    x = 251,761,308.70/21,093.16
  6. Step 6: Final answer
    x = 11,935.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.