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Finding the Fourth Proportional to 21,404.32, 32,107.80 and 8,256.76

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Solution

The fourth proportional to 21,404.32, 32,107.80 and 8,256.76 is: 12,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.32 : 32,107.80 = 8,256.76 : x
  2. Step 2: Convert to fraction form
    21,404.32/32,107.80 = 8,256.76/x
  3. Step 3: Cross multiply
    21,404.32x = 32,107.80 × 8,256.76
  4. Step 4: Simplify right side
    21,404.32x = 265,106,398.73
  5. Step 5: Solve for x
    x = 265,106,398.73/21,404.32
  6. Step 6: Final answer
    x = 12,385.65

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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.