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Finding the Fourth Proportional to 13,006.52, 17,949.24 and 7,699.40

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Solution

The fourth proportional to 13,006.52, 17,949.24 and 7,699.40 is: 10,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.52 : 17,949.24 = 7,699.40 : x
  2. Step 2: Convert to fraction form
    13,006.52/17,949.24 = 7,699.40/x
  3. Step 3: Cross multiply
    13,006.52x = 17,949.24 × 7,699.40
  4. Step 4: Simplify right side
    13,006.52x = 138,198,378.46
  5. Step 5: Solve for x
    x = 138,198,378.46/13,006.52
  6. Step 6: Final answer
    x = 10,625.32

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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.