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Finding the Fourth Proportional to 13,918.14, 19,208.38 and 7,950.26

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Solution

The fourth proportional to 13,918.14, 19,208.38 and 7,950.26 is: 10,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,918.14 : 19,208.38 = 7,950.26 : x
  2. Step 2: Convert to fraction form
    13,918.14/19,208.38 = 7,950.26/x
  3. Step 3: Cross multiply
    13,918.14x = 19,208.38 × 7,950.26
  4. Step 4: Simplify right side
    13,918.14x = 152,711,615.18
  5. Step 5: Solve for x
    x = 152,711,615.18/13,918.14
  6. Step 6: Final answer
    x = 10,972.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.