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Finding the Fourth Proportional to 17,053.54, 25,583.72 and 7,192.80

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Solution

The fourth proportional to 17,053.54, 25,583.72 and 7,192.80 is: 10,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,053.54 : 25,583.72 = 7,192.80 : x
  2. Step 2: Convert to fraction form
    17,053.54/25,583.72 = 7,192.80/x
  3. Step 3: Cross multiply
    17,053.54x = 25,583.72 × 7,192.80
  4. Step 4: Simplify right side
    17,053.54x = 184,018,545.25
  5. Step 5: Solve for x
    x = 184,018,545.25/17,053.54
  6. Step 6: Final answer
    x = 10,790.64

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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.