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Finding the Fourth Proportional to 12,523.38, 17,267.36 and 8,047.32

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Solution

The fourth proportional to 12,523.38, 17,267.36 and 8,047.32 is: 11,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.38 : 17,267.36 = 8,047.32 : x
  2. Step 2: Convert to fraction form
    12,523.38/17,267.36 = 8,047.32/x
  3. Step 3: Cross multiply
    12,523.38x = 17,267.36 × 8,047.32
  4. Step 4: Simplify right side
    12,523.38x = 138,955,971.48
  5. Step 5: Solve for x
    x = 138,955,971.48/12,523.38
  6. Step 6: Final answer
    x = 11,095.72

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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.