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Finding the Fourth Proportional to 15,829.84, 21,844.32 and 8,755.84

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Solution

The fourth proportional to 15,829.84, 21,844.32 and 8,755.84 is: 12,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.84 : 21,844.32 = 8,755.84 : x
  2. Step 2: Convert to fraction form
    15,829.84/21,844.32 = 8,755.84/x
  3. Step 3: Cross multiply
    15,829.84x = 21,844.32 × 8,755.84
  4. Step 4: Simplify right side
    15,829.84x = 191,265,370.83
  5. Step 5: Solve for x
    x = 191,265,370.83/15,829.84
  6. Step 6: Final answer
    x = 12,082.58

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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.