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Finding the Fourth Proportional to 12,553.92, 18,805.37 and 10,075.32

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Solution

The fourth proportional to 12,553.92, 18,805.37 and 10,075.32 is: 15,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,553.92 : 18,805.37 = 10,075.32 : x
  2. Step 2: Convert to fraction form
    12,553.92/18,805.37 = 10,075.32/x
  3. Step 3: Cross multiply
    12,553.92x = 18,805.37 × 10,075.32
  4. Step 4: Simplify right side
    12,553.92x = 189,470,070.09
  5. Step 5: Solve for x
    x = 189,470,070.09/12,553.92
  6. Step 6: Final answer
    x = 15,092.50

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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.