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Finding the Fourth Proportional to 12,535.46, 17,295.75 and 7,229.06

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Solution

The fourth proportional to 12,535.46, 17,295.75 and 7,229.06 is: 9,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.46 : 17,295.75 = 7,229.06 : x
  2. Step 2: Convert to fraction form
    12,535.46/17,295.75 = 7,229.06/x
  3. Step 3: Cross multiply
    12,535.46x = 17,295.75 × 7,229.06
  4. Step 4: Simplify right side
    12,535.46x = 125,032,014.50
  5. Step 5: Solve for x
    x = 125,032,014.50/12,535.46
  6. Step 6: Final answer
    x = 9,974.27

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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.