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Finding the Fourth Proportional to 23,159.85, 31,960.62 and 12,549.39

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Solution

The fourth proportional to 23,159.85, 31,960.62 and 12,549.39 is: 17,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,159.85 : 31,960.62 = 12,549.39 : x
  2. Step 2: Convert to fraction form
    23,159.85/31,960.62 = 12,549.39/x
  3. Step 3: Cross multiply
    23,159.85x = 31,960.62 × 12,549.39
  4. Step 4: Simplify right side
    23,159.85x = 401,086,285.02
  5. Step 5: Solve for x
    x = 401,086,285.02/23,159.85
  6. Step 6: Final answer
    x = 17,318.17

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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.