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Finding the Fourth Proportional to 12,535.18, 17,293.97 and 7,499.54

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Solution

The fourth proportional to 12,535.18, 17,293.97 and 7,499.54 is: 10,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.18 : 17,293.97 = 7,499.54 : x
  2. Step 2: Convert to fraction form
    12,535.18/17,293.97 = 7,499.54/x
  3. Step 3: Cross multiply
    12,535.18x = 17,293.97 × 7,499.54
  4. Step 4: Simplify right side
    12,535.18x = 129,696,782.28
  5. Step 5: Solve for x
    x = 129,696,782.28/12,535.18
  6. Step 6: Final answer
    x = 10,346.63

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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.