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Finding the Fourth Proportional to 15,839.69, 21,856.42 and 9,620.49

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Solution

The fourth proportional to 15,839.69, 21,856.42 and 9,620.49 is: 13,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.69 : 21,856.42 = 9,620.49 : x
  2. Step 2: Convert to fraction form
    15,839.69/21,856.42 = 9,620.49/x
  3. Step 3: Cross multiply
    15,839.69x = 21,856.42 × 9,620.49
  4. Step 4: Simplify right side
    15,839.69x = 210,269,445.99
  5. Step 5: Solve for x
    x = 210,269,445.99/15,839.69
  6. Step 6: Final answer
    x = 13,274.85

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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.