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Finding the Fourth Proportional to 15,774.38, 21,768.66 and 8,700.78

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Solution

The fourth proportional to 15,774.38, 21,768.66 and 8,700.78 is: 12,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.38 : 21,768.66 = 8,700.78 : x
  2. Step 2: Convert to fraction form
    15,774.38/21,768.66 = 8,700.78/x
  3. Step 3: Cross multiply
    15,774.38x = 21,768.66 × 8,700.78
  4. Step 4: Simplify right side
    15,774.38x = 189,404,321.55
  5. Step 5: Solve for x
    x = 189,404,321.55/15,774.38
  6. Step 6: Final answer
    x = 12,007.09

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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.