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Finding the Fourth Proportional to 10,275.18, 15,421.41 and 8,236.14

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Solution

The fourth proportional to 10,275.18, 15,421.41 and 8,236.14 is: 12,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.18 : 15,421.41 = 8,236.14 : x
  2. Step 2: Convert to fraction form
    10,275.18/15,421.41 = 8,236.14/x
  3. Step 3: Cross multiply
    10,275.18x = 15,421.41 × 8,236.14
  4. Step 4: Simplify right side
    10,275.18x = 127,012,891.76
  5. Step 5: Solve for x
    x = 127,012,891.76/10,275.18
  6. Step 6: Final answer
    x = 12,361.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.