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Finding the Fourth Proportional to 17,507.50, 26,261.25 and 5,195.50

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Solution

The fourth proportional to 17,507.50, 26,261.25 and 5,195.50 is: 7,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.50 : 26,261.25 = 5,195.50 : x
  2. Step 2: Convert to fraction form
    17,507.50/26,261.25 = 5,195.50/x
  3. Step 3: Cross multiply
    17,507.50x = 26,261.25 × 5,195.50
  4. Step 4: Simplify right side
    17,507.50x = 136,440,324.38
  5. Step 5: Solve for x
    x = 136,440,324.38/17,507.50
  6. Step 6: Final answer
    x = 7,793.25

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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.