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Finding the Fourth Proportional to 14,170.36, 21,294.42 and 13,365.22

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Solution

The fourth proportional to 14,170.36, 21,294.42 and 13,365.22 is: 20,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,170.36 : 21,294.42 = 13,365.22 : x
  2. Step 2: Convert to fraction form
    14,170.36/21,294.42 = 13,365.22/x
  3. Step 3: Cross multiply
    14,170.36x = 21,294.42 × 13,365.22
  4. Step 4: Simplify right side
    14,170.36x = 284,604,608.07
  5. Step 5: Solve for x
    x = 284,604,608.07/14,170.36
  6. Step 6: Final answer
    x = 20,084.50

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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.