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Finding the Fourth Proportional to 17,814.25, 26,721.34 and 7,145.42

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Solution

The fourth proportional to 17,814.25, 26,721.34 and 7,145.42 is: 10,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.25 : 26,721.34 = 7,145.42 : x
  2. Step 2: Convert to fraction form
    17,814.25/26,721.34 = 7,145.42/x
  3. Step 3: Cross multiply
    17,814.25x = 26,721.34 × 7,145.42
  4. Step 4: Simplify right side
    17,814.25x = 190,935,063.66
  5. Step 5: Solve for x
    x = 190,935,063.66/17,814.25
  6. Step 6: Final answer
    x = 10,718.11

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