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Finding the Fourth Proportional to 15,952.20, 23,919.54 and 7,634.34

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Solution

The fourth proportional to 15,952.20, 23,919.54 and 7,634.34 is: 11,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.20 : 23,919.54 = 7,634.34 : x
  2. Step 2: Convert to fraction form
    15,952.20/23,919.54 = 7,634.34/x
  3. Step 3: Cross multiply
    15,952.20x = 23,919.54 × 7,634.34
  4. Step 4: Simplify right side
    15,952.20x = 182,609,901.00
  5. Step 5: Solve for x
    x = 182,609,901.00/15,952.20
  6. Step 6: Final answer
    x = 11,447.32

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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.