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Finding the Fourth Proportional to 25,292.40, 37,942.73 and 9,498.66

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Solution

The fourth proportional to 25,292.40, 37,942.73 and 9,498.66 is: 14,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292.40 : 37,942.73 = 9,498.66 : x
  2. Step 2: Convert to fraction form
    25,292.40/37,942.73 = 9,498.66/x
  3. Step 3: Cross multiply
    25,292.40x = 37,942.73 × 9,498.66
  4. Step 4: Simplify right side
    25,292.40x = 360,405,044.25
  5. Step 5: Solve for x
    x = 360,405,044.25/25,292.40
  6. Step 6: Final answer
    x = 14,249.54

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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.