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Finding the Fourth Proportional to 17,029.92, 25,536.24 and 7,788

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Solution

The fourth proportional to 17,029.92, 25,536.24 and 7,788 is: 11,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,029.92 : 25,536.24 = 7,788 : x
  2. Step 2: Convert to fraction form
    17,029.92/25,536.24 = 7,788/x
  3. Step 3: Cross multiply
    17,029.92x = 25,536.24 × 7,788
  4. Step 4: Simplify right side
    17,029.92x = 198,876,237.12
  5. Step 5: Solve for x
    x = 198,876,237.12/17,029.92
  6. Step 6: Final answer
    x = 11,678.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.