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Finding the Fourth Proportional to 16,042.26, 24,152.57 and 13,899

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Solution

The fourth proportional to 16,042.26, 24,152.57 and 13,899 is: 20,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.26 : 24,152.57 = 13,899 : x
  2. Step 2: Convert to fraction form
    16,042.26/24,152.57 = 13,899/x
  3. Step 3: Cross multiply
    16,042.26x = 24,152.57 × 13,899
  4. Step 4: Simplify right side
    16,042.26x = 335,696,500.94
  5. Step 5: Solve for x
    x = 335,696,500.94/16,042.26
  6. Step 6: Final answer
    x = 20,925.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.