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Finding the Fourth Proportional to 17,312.38, 25,944.27 and 7,444.24

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Solution

The fourth proportional to 17,312.38, 25,944.27 and 7,444.24 is: 11,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312.38 : 25,944.27 = 7,444.24 : x
  2. Step 2: Convert to fraction form
    17,312.38/25,944.27 = 7,444.24/x
  3. Step 3: Cross multiply
    17,312.38x = 25,944.27 × 7,444.24
  4. Step 4: Simplify right side
    17,312.38x = 193,135,372.50
  5. Step 5: Solve for x
    x = 193,135,372.50/17,312.38
  6. Step 6: Final answer
    x = 11,155.91

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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.