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Finding the Fourth Proportional to 15,892.38, 21,931.56 and 8,818.80

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Solution

The fourth proportional to 15,892.38, 21,931.56 and 8,818.80 is: 12,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.38 : 21,931.56 = 8,818.80 : x
  2. Step 2: Convert to fraction form
    15,892.38/21,931.56 = 8,818.80/x
  3. Step 3: Cross multiply
    15,892.38x = 21,931.56 × 8,818.80
  4. Step 4: Simplify right side
    15,892.38x = 193,410,041.33
  5. Step 5: Solve for x
    x = 193,410,041.33/15,892.38
  6. Step 6: Final answer
    x = 12,169.99

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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.