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Finding the Fourth Proportional to 15,786.20, 21,784.31 and 8,712.53

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Solution

The fourth proportional to 15,786.20, 21,784.31 and 8,712.53 is: 12,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.20 : 21,784.31 = 8,712.53 : x
  2. Step 2: Convert to fraction form
    15,786.20/21,784.31 = 8,712.53/x
  3. Step 3: Cross multiply
    15,786.20x = 21,784.31 × 8,712.53
  4. Step 4: Simplify right side
    15,786.20x = 189,796,367.26
  5. Step 5: Solve for x
    x = 189,796,367.26/15,786.20
  6. Step 6: Final answer
    x = 12,022.93

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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.