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Finding the Fourth Proportional to 21,812.96, 30,103.44 and 12,382.14

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Solution

The fourth proportional to 21,812.96, 30,103.44 and 12,382.14 is: 17,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.96 : 30,103.44 = 12,382.14 : x
  2. Step 2: Convert to fraction form
    21,812.96/30,103.44 = 12,382.14/x
  3. Step 3: Cross multiply
    21,812.96x = 30,103.44 × 12,382.14
  4. Step 4: Simplify right side
    21,812.96x = 372,745,008.56
  5. Step 5: Solve for x
    x = 372,745,008.56/21,812.96
  6. Step 6: Final answer
    x = 17,088.24

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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.