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Finding the Fourth Proportional to 20,597.71, 30,878.07 and 9,498.73

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Solution

The fourth proportional to 20,597.71, 30,878.07 and 9,498.73 is: 14,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.71 : 30,878.07 = 9,498.73 : x
  2. Step 2: Convert to fraction form
    20,597.71/30,878.07 = 9,498.73/x
  3. Step 3: Cross multiply
    20,597.71x = 30,878.07 × 9,498.73
  4. Step 4: Simplify right side
    20,597.71x = 293,302,449.85
  5. Step 5: Solve for x
    x = 293,302,449.85/20,597.71
  6. Step 6: Final answer
    x = 14,239.57

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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.