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Finding the Fourth Proportional to 16,701.10, 25,051.97 and 7,814.04

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Solution

The fourth proportional to 16,701.10, 25,051.97 and 7,814.04 is: 11,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,701.10 : 25,051.97 = 7,814.04 : x
  2. Step 2: Convert to fraction form
    16,701.10/25,051.97 = 7,814.04/x
  3. Step 3: Cross multiply
    16,701.10x = 25,051.97 × 7,814.04
  4. Step 4: Simplify right side
    16,701.10x = 195,757,095.66
  5. Step 5: Solve for x
    x = 195,757,095.66/16,701.10
  6. Step 6: Final answer
    x = 11,721.21

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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.