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Finding the Fourth Proportional to 22,531.14, 33,713.01 and 14,172.12

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Solution

The fourth proportional to 22,531.14, 33,713.01 and 14,172.12 is: 21,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.14 : 33,713.01 = 14,172.12 : x
  2. Step 2: Convert to fraction form
    22,531.14/33,713.01 = 14,172.12/x
  3. Step 3: Cross multiply
    22,531.14x = 33,713.01 × 14,172.12
  4. Step 4: Simplify right side
    22,531.14x = 477,784,823.28
  5. Step 5: Solve for x
    x = 477,784,823.28/22,531.14
  6. Step 6: Final answer
    x = 21,205.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.