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Finding the Fourth Proportional to 23,813.75, 35,713.32 and 16,465.43

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Solution

The fourth proportional to 23,813.75, 35,713.32 and 16,465.43 is: 24,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.75 : 35,713.32 = 16,465.43 : x
  2. Step 2: Convert to fraction form
    23,813.75/35,713.32 = 16,465.43/x
  3. Step 3: Cross multiply
    23,813.75x = 35,713.32 × 16,465.43
  4. Step 4: Simplify right side
    23,813.75x = 588,035,170.53
  5. Step 5: Solve for x
    x = 588,035,170.53/23,813.75
  6. Step 6: Final answer
    x = 24,693.09

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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.