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Finding the Fourth Proportional to 17,032.14, 25,530.93 and 10,790.22

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Solution

The fourth proportional to 17,032.14, 25,530.93 and 10,790.22 is: 16,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.14 : 25,530.93 = 10,790.22 : x
  2. Step 2: Convert to fraction form
    17,032.14/25,530.93 = 10,790.22/x
  3. Step 3: Cross multiply
    17,032.14x = 25,530.93 × 10,790.22
  4. Step 4: Simplify right side
    17,032.14x = 275,484,351.50
  5. Step 5: Solve for x
    x = 275,484,351.50/17,032.14
  6. Step 6: Final answer
    x = 16,174.38

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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.