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Finding the Fourth Proportional to 20,561.58, 30,838.32 and 9,881.73

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Solution

The fourth proportional to 20,561.58, 30,838.32 and 9,881.73 is: 14,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.58 : 30,838.32 = 9,881.73 : x
  2. Step 2: Convert to fraction form
    20,561.58/30,838.32 = 9,881.73/x
  3. Step 3: Cross multiply
    20,561.58x = 30,838.32 × 9,881.73
  4. Step 4: Simplify right side
    20,561.58x = 304,735,951.89
  5. Step 5: Solve for x
    x = 304,735,951.89/20,561.58
  6. Step 6: Final answer
    x = 14,820.65

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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.