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Finding the Fourth Proportional to 21,677.66, 32,516.51 and 6,095.29

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Solution

The fourth proportional to 21,677.66, 32,516.51 and 6,095.29 is: 9,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.66 : 32,516.51 = 6,095.29 : x
  2. Step 2: Convert to fraction form
    21,677.66/32,516.51 = 6,095.29/x
  3. Step 3: Cross multiply
    21,677.66x = 32,516.51 × 6,095.29
  4. Step 4: Simplify right side
    21,677.66x = 198,197,530.30
  5. Step 5: Solve for x
    x = 198,197,530.30/21,677.66
  6. Step 6: Final answer
    x = 9,142.94

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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.