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Finding the Fourth Proportional to 13,029.69, 17,974.35 and 8,552.82

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Solution

The fourth proportional to 13,029.69, 17,974.35 and 8,552.82 is: 11,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.69 : 17,974.35 = 8,552.82 : x
  2. Step 2: Convert to fraction form
    13,029.69/17,974.35 = 8,552.82/x
  3. Step 3: Cross multiply
    13,029.69x = 17,974.35 × 8,552.82
  4. Step 4: Simplify right side
    13,029.69x = 153,731,380.17
  5. Step 5: Solve for x
    x = 153,731,380.17/13,029.69
  6. Step 6: Final answer
    x = 11,798.54

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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.