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Finding the Fourth Proportional to 18,553.56, 25,603.86 and 10,170

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Solution

The fourth proportional to 18,553.56, 25,603.86 and 10,170 is: 14,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.56 : 25,603.86 = 10,170 : x
  2. Step 2: Convert to fraction form
    18,553.56/25,603.86 = 10,170/x
  3. Step 3: Cross multiply
    18,553.56x = 25,603.86 × 10,170
  4. Step 4: Simplify right side
    18,553.56x = 260,391,256.20
  5. Step 5: Solve for x
    x = 260,391,256.20/18,553.56
  6. Step 6: Final answer
    x = 14,034.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.