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Finding the Fourth Proportional to 29,445.25, 40,634.85 and 16,870

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Solution

The fourth proportional to 29,445.25, 40,634.85 and 16,870 is: 23,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,445.25 : 40,634.85 = 16,870 : x
  2. Step 2: Convert to fraction form
    29,445.25/40,634.85 = 16,870/x
  3. Step 3: Cross multiply
    29,445.25x = 40,634.85 × 16,870
  4. Step 4: Simplify right side
    29,445.25x = 685,509,919.50
  5. Step 5: Solve for x
    x = 685,509,919.50/29,445.25
  6. Step 6: Final answer
    x = 23,280.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.