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Finding the Fourth Proportional to 15,834.71, 21,851.73 and 8,664.77

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Solution

The fourth proportional to 15,834.71, 21,851.73 and 8,664.77 is: 11,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.71 : 21,851.73 = 8,664.77 : x
  2. Step 2: Convert to fraction form
    15,834.71/21,851.73 = 8,664.77/x
  3. Step 3: Cross multiply
    15,834.71x = 21,851.73 × 8,664.77
  4. Step 4: Simplify right side
    15,834.71x = 189,340,269.18
  5. Step 5: Solve for x
    x = 189,340,269.18/15,834.71
  6. Step 6: Final answer
    x = 11,957.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.