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Finding the Fourth Proportional to 16,891.38, 23,315.04 and 9,820.62

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Solution

The fourth proportional to 16,891.38, 23,315.04 and 9,820.62 is: 13,555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,891.38 : 23,315.04 = 9,820.62 : x
  2. Step 2: Convert to fraction form
    16,891.38/23,315.04 = 9,820.62/x
  3. Step 3: Cross multiply
    16,891.38x = 23,315.04 × 9,820.62
  4. Step 4: Simplify right side
    16,891.38x = 228,968,148.12
  5. Step 5: Solve for x
    x = 228,968,148.12/16,891.38
  6. Step 6: Final answer
    x = 13,555.33

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Why These Related Problems?

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