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Finding the Fourth Proportional to 17,314.14, 25,973.02 and 7,952.56

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Solution

The fourth proportional to 17,314.14, 25,973.02 and 7,952.56 is: 11,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.14 : 25,973.02 = 7,952.56 : x
  2. Step 2: Convert to fraction form
    17,314.14/25,973.02 = 7,952.56/x
  3. Step 3: Cross multiply
    17,314.14x = 25,973.02 × 7,952.56
  4. Step 4: Simplify right side
    17,314.14x = 206,551,999.93
  5. Step 5: Solve for x
    x = 206,551,999.93/17,314.14
  6. Step 6: Final answer
    x = 11,929.67

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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.