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Finding the Fourth Proportional to 15,897.76, 21,939.06 and 8,824.84

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Solution

The fourth proportional to 15,897.76, 21,939.06 and 8,824.84 is: 12,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.76 : 21,939.06 = 8,824.84 : x
  2. Step 2: Convert to fraction form
    15,897.76/21,939.06 = 8,824.84/x
  3. Step 3: Cross multiply
    15,897.76x = 21,939.06 × 8,824.84
  4. Step 4: Simplify right side
    15,897.76x = 193,608,694.25
  5. Step 5: Solve for x
    x = 193,608,694.25/15,897.76
  6. Step 6: Final answer
    x = 12,178.36

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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.