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Finding the Fourth Proportional to 21,874.15, 30,175.82 and 14,317.15

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Solution

The fourth proportional to 21,874.15, 30,175.82 and 14,317.15 is: 19,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.15 : 30,175.82 = 14,317.15 : x
  2. Step 2: Convert to fraction form
    21,874.15/30,175.82 = 14,317.15/x
  3. Step 3: Cross multiply
    21,874.15x = 30,175.82 × 14,317.15
  4. Step 4: Simplify right side
    21,874.15x = 432,031,741.31
  5. Step 5: Solve for x
    x = 432,031,741.31/21,874.15
  6. Step 6: Final answer
    x = 19,750.79

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