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Finding the Fourth Proportional to 21,308.32, 31,961.34 and 8,159.68

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Solution

The fourth proportional to 21,308.32, 31,961.34 and 8,159.68 is: 12,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.32 : 31,961.34 = 8,159.68 : x
  2. Step 2: Convert to fraction form
    21,308.32/31,961.34 = 8,159.68/x
  3. Step 3: Cross multiply
    21,308.32x = 31,961.34 × 8,159.68
  4. Step 4: Simplify right side
    21,308.32x = 260,794,306.77
  5. Step 5: Solve for x
    x = 260,794,306.77/21,308.32
  6. Step 6: Final answer
    x = 12,239.08

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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.