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Finding the Fourth Proportional to 20,584.26, 30,881.52 and 9,498.68

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Solution

The fourth proportional to 20,584.26, 30,881.52 and 9,498.68 is: 14,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.26 : 30,881.52 = 9,498.68 : x
  2. Step 2: Convert to fraction form
    20,584.26/30,881.52 = 9,498.68/x
  3. Step 3: Cross multiply
    20,584.26x = 30,881.52 × 9,498.68
  4. Step 4: Simplify right side
    20,584.26x = 293,333,521.99
  5. Step 5: Solve for x
    x = 293,333,521.99/20,584.26
  6. Step 6: Final answer
    x = 14,250.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.