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Finding the Fourth Proportional to 16,795.77, 25,193.67 and 5,109

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Solution

The fourth proportional to 16,795.77, 25,193.67 and 5,109 is: 7,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,795.77 : 25,193.67 = 5,109 : x
  2. Step 2: Convert to fraction form
    16,795.77/25,193.67 = 5,109/x
  3. Step 3: Cross multiply
    16,795.77x = 25,193.67 × 5,109
  4. Step 4: Simplify right side
    16,795.77x = 128,714,460.03
  5. Step 5: Solve for x
    x = 128,714,460.03/16,795.77
  6. Step 6: Final answer
    x = 7,663.50

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Why These Related Problems?

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