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Finding the Fourth Proportional to 13,721.84, 18,937.08 and 8,346.38

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Solution

The fourth proportional to 13,721.84, 18,937.08 and 8,346.38 is: 11,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.84 : 18,937.08 = 8,346.38 : x
  2. Step 2: Convert to fraction form
    13,721.84/18,937.08 = 8,346.38/x
  3. Step 3: Cross multiply
    13,721.84x = 18,937.08 × 8,346.38
  4. Step 4: Simplify right side
    13,721.84x = 158,055,971.09
  5. Step 5: Solve for x
    x = 158,055,971.09/13,721.84
  6. Step 6: Final answer
    x = 11,518.57

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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.