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Finding the Fourth Proportional to 18,270.12, 25,210.98 and 10,311

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Solution

The fourth proportional to 18,270.12, 25,210.98 and 10,311 is: 14,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270.12 : 25,210.98 = 10,311 : x
  2. Step 2: Convert to fraction form
    18,270.12/25,210.98 = 10,311/x
  3. Step 3: Cross multiply
    18,270.12x = 25,210.98 × 10,311
  4. Step 4: Simplify right side
    18,270.12x = 259,950,414.78
  5. Step 5: Solve for x
    x = 259,950,414.78/18,270.12
  6. Step 6: Final answer
    x = 14,228.17

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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.