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Finding the Fourth Proportional to 16,612.50, 24,886.77 and 13,083.84

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Solution

The fourth proportional to 16,612.50, 24,886.77 and 13,083.84 is: 19,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,612.50 : 24,886.77 = 13,083.84 : x
  2. Step 2: Convert to fraction form
    16,612.50/24,886.77 = 13,083.84/x
  3. Step 3: Cross multiply
    16,612.50x = 24,886.77 × 13,083.84
  4. Step 4: Simplify right side
    16,612.50x = 325,614,516.80
  5. Step 5: Solve for x
    x = 325,614,516.80/16,612.50
  6. Step 6: Final answer
    x = 19,600.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.