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Finding the Fourth Proportional to 23,085.80, 31,861.21 and 13,016.18

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Solution

The fourth proportional to 23,085.80, 31,861.21 and 13,016.18 is: 17,963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.80 : 31,861.21 = 13,016.18 : x
  2. Step 2: Convert to fraction form
    23,085.80/31,861.21 = 13,016.18/x
  3. Step 3: Cross multiply
    23,085.80x = 31,861.21 × 13,016.18
  4. Step 4: Simplify right side
    23,085.80x = 414,711,244.38
  5. Step 5: Solve for x
    x = 414,711,244.38/23,085.80
  6. Step 6: Final answer
    x = 17,963.91

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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.