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Finding the Fourth Proportional to 13,967.38, 19,274.94 and 7,999.04

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Solution

The fourth proportional to 13,967.38, 19,274.94 and 7,999.04 is: 11,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.38 : 19,274.94 = 7,999.04 : x
  2. Step 2: Convert to fraction form
    13,967.38/19,274.94 = 7,999.04/x
  3. Step 3: Cross multiply
    13,967.38x = 19,274.94 × 7,999.04
  4. Step 4: Simplify right side
    13,967.38x = 154,181,016.06
  5. Step 5: Solve for x
    x = 154,181,016.06/13,967.38
  6. Step 6: Final answer
    x = 11,038.65

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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.