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Finding the Fourth Proportional to 21,879.14, 30,182.72 and 14,322.14

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Solution

The fourth proportional to 21,879.14, 30,182.72 and 14,322.14 is: 19,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,879.14 : 30,182.72 = 14,322.14 : x
  2. Step 2: Convert to fraction form
    21,879.14/30,182.72 = 14,322.14/x
  3. Step 3: Cross multiply
    21,879.14x = 30,182.72 × 14,322.14
  4. Step 4: Simplify right side
    21,879.14x = 432,281,141.42
  5. Step 5: Solve for x
    x = 432,281,141.42/21,879.14
  6. Step 6: Final answer
    x = 19,757.68

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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.