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Finding the Fourth Proportional to 15,844.14, 21,866.22 and 8,772.84

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Solution

The fourth proportional to 15,844.14, 21,866.22 and 8,772.84 is: 12,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844.14 : 21,866.22 = 8,772.84 : x
  2. Step 2: Convert to fraction form
    15,844.14/21,866.22 = 8,772.84/x
  3. Step 3: Cross multiply
    15,844.14x = 21,866.22 × 8,772.84
  4. Step 4: Simplify right side
    15,844.14x = 191,828,849.46
  5. Step 5: Solve for x
    x = 191,828,849.46/15,844.14
  6. Step 6: Final answer
    x = 12,107.24

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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.