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Finding the Fourth Proportional to 15,947.84, 21,999.48 and 10,635.80

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Solution

The fourth proportional to 15,947.84, 21,999.48 and 10,635.80 is: 14,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947.84 : 21,999.48 = 10,635.80 : x
  2. Step 2: Convert to fraction form
    15,947.84/21,999.48 = 10,635.80/x
  3. Step 3: Cross multiply
    15,947.84x = 21,999.48 × 10,635.80
  4. Step 4: Simplify right side
    15,947.84x = 233,982,069.38
  5. Step 5: Solve for x
    x = 233,982,069.38/15,947.84
  6. Step 6: Final answer
    x = 14,671.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.