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Finding the Fourth Proportional to 21,502.14, 32,256.86 and 6,710.73

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Solution

The fourth proportional to 21,502.14, 32,256.86 and 6,710.73 is: 10,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.14 : 32,256.86 = 6,710.73 : x
  2. Step 2: Convert to fraction form
    21,502.14/32,256.86 = 6,710.73/x
  3. Step 3: Cross multiply
    21,502.14x = 32,256.86 × 6,710.73
  4. Step 4: Simplify right side
    21,502.14x = 216,467,044.55
  5. Step 5: Solve for x
    x = 216,467,044.55/21,502.14
  6. Step 6: Final answer
    x = 10,067.23

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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.