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Finding the Fourth Proportional to 18,178.14, 25,085.70 and 10,220.43

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Solution

The fourth proportional to 18,178.14, 25,085.70 and 10,220.43 is: 14,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,178.14 : 25,085.70 = 10,220.43 : x
  2. Step 2: Convert to fraction form
    18,178.14/25,085.70 = 10,220.43/x
  3. Step 3: Cross multiply
    18,178.14x = 25,085.70 × 10,220.43
  4. Step 4: Simplify right side
    18,178.14x = 256,386,640.85
  5. Step 5: Solve for x
    x = 256,386,640.85/18,178.14
  6. Step 6: Final answer
    x = 14,104.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.