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Finding the Fourth Proportional to 21,893.74, 30,214.89 and 12,462.30

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Solution

The fourth proportional to 21,893.74, 30,214.89 and 12,462.30 is: 17,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.74 : 30,214.89 = 12,462.30 : x
  2. Step 2: Convert to fraction form
    21,893.74/30,214.89 = 12,462.30/x
  3. Step 3: Cross multiply
    21,893.74x = 30,214.89 × 12,462.30
  4. Step 4: Simplify right side
    21,893.74x = 376,547,023.65
  5. Step 5: Solve for x
    x = 376,547,023.65/21,893.74
  6. Step 6: Final answer
    x = 17,198.85

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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.