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Finding the Fourth Proportional to 16,225.77, 24,338.66 and 6,863.36

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Solution

The fourth proportional to 16,225.77, 24,338.66 and 6,863.36 is: 10,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.77 : 24,338.66 = 6,863.36 : x
  2. Step 2: Convert to fraction form
    16,225.77/24,338.66 = 6,863.36/x
  3. Step 3: Cross multiply
    16,225.77x = 24,338.66 × 6,863.36
  4. Step 4: Simplify right side
    16,225.77x = 167,044,985.50
  5. Step 5: Solve for x
    x = 167,044,985.50/16,225.77
  6. Step 6: Final answer
    x = 10,295.04

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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.