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Finding the Fourth Proportional to 15,829.04, 21,843.96 and 8,756

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Solution

The fourth proportional to 15,829.04, 21,843.96 and 8,756 is: 12,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.04 : 21,843.96 = 8,756 : x
  2. Step 2: Convert to fraction form
    15,829.04/21,843.96 = 8,756/x
  3. Step 3: Cross multiply
    15,829.04x = 21,843.96 × 8,756
  4. Step 4: Simplify right side
    15,829.04x = 191,265,713.76
  5. Step 5: Solve for x
    x = 191,265,713.76/15,829.04
  6. Step 6: Final answer
    x = 12,083.22

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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.