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Finding the Fourth Proportional to 15,772.10, 21,766.14 and 8,698.97

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Solution

The fourth proportional to 15,772.10, 21,766.14 and 8,698.97 is: 12,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.10 : 21,766.14 = 8,698.97 : x
  2. Step 2: Convert to fraction form
    15,772.10/21,766.14 = 8,698.97/x
  3. Step 3: Cross multiply
    15,772.10x = 21,766.14 × 8,698.97
  4. Step 4: Simplify right side
    15,772.10x = 189,342,998.88
  5. Step 5: Solve for x
    x = 189,342,998.88/15,772.10
  6. Step 6: Final answer
    x = 12,004.93

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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.