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Finding the Fourth Proportional to 21,101.66, 31,656.75 and 9,414.88

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Solution

The fourth proportional to 21,101.66, 31,656.75 and 9,414.88 is: 14,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.66 : 31,656.75 = 9,414.88 : x
  2. Step 2: Convert to fraction form
    21,101.66/31,656.75 = 9,414.88/x
  3. Step 3: Cross multiply
    21,101.66x = 31,656.75 × 9,414.88
  4. Step 4: Simplify right side
    21,101.66x = 298,044,502.44
  5. Step 5: Solve for x
    x = 298,044,502.44/21,101.66
  6. Step 6: Final answer
    x = 14,124.22

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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.