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Finding the Fourth Proportional to 18,231.16, 25,158.30 and 10,275

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Solution

The fourth proportional to 18,231.16, 25,158.30 and 10,275 is: 14,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,231.16 : 25,158.30 = 10,275 : x
  2. Step 2: Convert to fraction form
    18,231.16/25,158.30 = 10,275/x
  3. Step 3: Cross multiply
    18,231.16x = 25,158.30 × 10,275
  4. Step 4: Simplify right side
    18,231.16x = 258,501,532.50
  5. Step 5: Solve for x
    x = 258,501,532.50/18,231.16
  6. Step 6: Final answer
    x = 14,179.11

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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.