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Finding the Fourth Proportional to 15,805.38, 21,811.14 and 8,732.28

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Solution

The fourth proportional to 15,805.38, 21,811.14 and 8,732.28 is: 12,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.38 : 21,811.14 = 8,732.28 : x
  2. Step 2: Convert to fraction form
    15,805.38/21,811.14 = 8,732.28/x
  3. Step 3: Cross multiply
    15,805.38x = 21,811.14 × 8,732.28
  4. Step 4: Simplify right side
    15,805.38x = 190,460,981.60
  5. Step 5: Solve for x
    x = 190,460,981.60/15,805.38
  6. Step 6: Final answer
    x = 12,050.39

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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.