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Finding the Fourth Proportional to 21,376, 32,067.45 and 6,584.91

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Solution

The fourth proportional to 21,376, 32,067.45 and 6,584.91 is: 9,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,376 : 32,067.45 = 6,584.91 : x
  2. Step 2: Convert to fraction form
    21,376/32,067.45 = 6,584.91/x
  3. Step 3: Cross multiply
    21,376x = 32,067.45 × 6,584.91
  4. Step 4: Simplify right side
    21,376x = 211,161,272.18
  5. Step 5: Solve for x
    x = 211,161,272.18/21,376
  6. Step 6: Final answer
    x = 9,878.43

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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.