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Finding the Fourth Proportional to 20,859.63, 31,293.53 and 9,172.82

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Solution

The fourth proportional to 20,859.63, 31,293.53 and 9,172.82 is: 13,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.63 : 31,293.53 = 9,172.82 : x
  2. Step 2: Convert to fraction form
    20,859.63/31,293.53 = 9,172.82/x
  3. Step 3: Cross multiply
    20,859.63x = 31,293.53 × 9,172.82
  4. Step 4: Simplify right side
    20,859.63x = 287,049,715.52
  5. Step 5: Solve for x
    x = 287,049,715.52/20,859.63
  6. Step 6: Final answer
    x = 13,761.02

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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.