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Finding the Fourth Proportional to 21,872.08, 30,186 and 12,442.12

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Solution

The fourth proportional to 21,872.08, 30,186 and 12,442.12 is: 17,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.08 : 30,186 = 12,442.12 : x
  2. Step 2: Convert to fraction form
    21,872.08/30,186 = 12,442.12/x
  3. Step 3: Cross multiply
    21,872.08x = 30,186 × 12,442.12
  4. Step 4: Simplify right side
    21,872.08x = 375,577,834.32
  5. Step 5: Solve for x
    x = 375,577,834.32/21,872.08
  6. Step 6: Final answer
    x = 17,171.56

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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.