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Finding the Fourth Proportional to 20,710.41, 31,039.70 and 16,310.49

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Solution

The fourth proportional to 20,710.41, 31,039.70 and 16,310.49 is: 24,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.41 : 31,039.70 = 16,310.49 : x
  2. Step 2: Convert to fraction form
    20,710.41/31,039.70 = 16,310.49/x
  3. Step 3: Cross multiply
    20,710.41x = 31,039.70 × 16,310.49
  4. Step 4: Simplify right side
    20,710.41x = 506,272,634.90
  5. Step 5: Solve for x
    x = 506,272,634.90/20,710.41
  6. Step 6: Final answer
    x = 24,445.32

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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.