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Finding the Fourth Proportional to 21,895.80, 30,215.76 and 12,464.16

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Solution

The fourth proportional to 21,895.80, 30,215.76 and 12,464.16 is: 17,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895.80 : 30,215.76 = 12,464.16 : x
  2. Step 2: Convert to fraction form
    21,895.80/30,215.76 = 12,464.16/x
  3. Step 3: Cross multiply
    21,895.80x = 30,215.76 × 12,464.16
  4. Step 4: Simplify right side
    21,895.80x = 376,614,067.16
  5. Step 5: Solve for x
    x = 376,614,067.16/21,895.80
  6. Step 6: Final answer
    x = 17,200.29

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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.