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Finding the Fourth Proportional to 12,536.28, 17,299.40 and 7,230.78

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Solution

The fourth proportional to 12,536.28, 17,299.40 and 7,230.78 is: 9,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.28 : 17,299.40 = 7,230.78 : x
  2. Step 2: Convert to fraction form
    12,536.28/17,299.40 = 7,230.78/x
  3. Step 3: Cross multiply
    12,536.28x = 17,299.40 × 7,230.78
  4. Step 4: Simplify right side
    12,536.28x = 125,088,155.53
  5. Step 5: Solve for x
    x = 125,088,155.53/12,536.28
  6. Step 6: Final answer
    x = 9,978.09

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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.