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Finding the Fourth Proportional to 21,914.68, 30,267.22 and 14,732.14

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Solution

The fourth proportional to 21,914.68, 30,267.22 and 14,732.14 is: 20,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.68 : 30,267.22 = 14,732.14 : x
  2. Step 2: Convert to fraction form
    21,914.68/30,267.22 = 14,732.14/x
  3. Step 3: Cross multiply
    21,914.68x = 30,267.22 × 14,732.14
  4. Step 4: Simplify right side
    21,914.68x = 445,900,922.45
  5. Step 5: Solve for x
    x = 445,900,922.45/21,914.68
  6. Step 6: Final answer
    x = 20,347.13

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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.