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Finding the Fourth Proportional to 14,294.50, 21,428.97 and 7,270.58

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Solution

The fourth proportional to 14,294.50, 21,428.97 and 7,270.58 is: 10,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.50 : 21,428.97 = 7,270.58 : x
  2. Step 2: Convert to fraction form
    14,294.50/21,428.97 = 7,270.58/x
  3. Step 3: Cross multiply
    14,294.50x = 21,428.97 × 7,270.58
  4. Step 4: Simplify right side
    14,294.50x = 155,801,040.70
  5. Step 5: Solve for x
    x = 155,801,040.70/14,294.50
  6. Step 6: Final answer
    x = 10,899.37

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Why These Related Problems?

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