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Finding the Fourth Proportional to 17,507.72, 26,261.42 and 8,142.50

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Solution

The fourth proportional to 17,507.72, 26,261.42 and 8,142.50 is: 12,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.72 : 26,261.42 = 8,142.50 : x
  2. Step 2: Convert to fraction form
    17,507.72/26,261.42 = 8,142.50/x
  3. Step 3: Cross multiply
    17,507.72x = 26,261.42 × 8,142.50
  4. Step 4: Simplify right side
    17,507.72x = 213,833,481.04
  5. Step 5: Solve for x
    x = 213,833,481.04/17,507.72
  6. Step 6: Final answer
    x = 12,213.67

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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.