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Finding the Fourth Proportional to 15,846.49, 21,868.18 and 10,181.27

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Solution

The fourth proportional to 15,846.49, 21,868.18 and 10,181.27 is: 14,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.49 : 21,868.18 = 10,181.27 : x
  2. Step 2: Convert to fraction form
    15,846.49/21,868.18 = 10,181.27/x
  3. Step 3: Cross multiply
    15,846.49x = 21,868.18 × 10,181.27
  4. Step 4: Simplify right side
    15,846.49x = 222,645,710.19
  5. Step 5: Solve for x
    x = 222,645,710.19/15,846.49
  6. Step 6: Final answer
    x = 14,050.16

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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.