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Finding the Fourth Proportional to 17,057.73, 25,583.49 and 7,203.93

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Solution

The fourth proportional to 17,057.73, 25,583.49 and 7,203.93 is: 10,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.73 : 25,583.49 = 7,203.93 : x
  2. Step 2: Convert to fraction form
    17,057.73/25,583.49 = 7,203.93/x
  3. Step 3: Cross multiply
    17,057.73x = 25,583.49 × 7,203.93
  4. Step 4: Simplify right side
    17,057.73x = 184,301,671.12
  5. Step 5: Solve for x
    x = 184,301,671.12/17,057.73
  6. Step 6: Final answer
    x = 10,804.58

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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.