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Finding the Fourth Proportional to 12,944, 17,853 and 8,971.76

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Solution

The fourth proportional to 12,944, 17,853 and 8,971.76 is: 12,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944 : 17,853 = 8,971.76 : x
  2. Step 2: Convert to fraction form
    12,944/17,853 = 8,971.76/x
  3. Step 3: Cross multiply
    12,944x = 17,853 × 8,971.76
  4. Step 4: Simplify right side
    12,944x = 160,172,831.28
  5. Step 5: Solve for x
    x = 160,172,831.28/12,944
  6. Step 6: Final answer
    x = 12,374.29

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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.