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Finding the Fourth Proportional to 20,857.59, 31,276.17 and 10,315.44

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Solution

The fourth proportional to 20,857.59, 31,276.17 and 10,315.44 is: 15,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.59 : 31,276.17 = 10,315.44 : x
  2. Step 2: Convert to fraction form
    20,857.59/31,276.17 = 10,315.44/x
  3. Step 3: Cross multiply
    20,857.59x = 31,276.17 × 10,315.44
  4. Step 4: Simplify right side
    20,857.59x = 322,627,455.06
  5. Step 5: Solve for x
    x = 322,627,455.06/20,857.59
  6. Step 6: Final answer
    x = 15,468.11

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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.