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Finding the Fourth Proportional to 11,924.94, 17,867.96 and 6,073.50

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Solution

The fourth proportional to 11,924.94, 17,867.96 and 6,073.50 is: 9,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.94 : 17,867.96 = 6,073.50 : x
  2. Step 2: Convert to fraction form
    11,924.94/17,867.96 = 6,073.50/x
  3. Step 3: Cross multiply
    11,924.94x = 17,867.96 × 6,073.50
  4. Step 4: Simplify right side
    11,924.94x = 108,521,055.06
  5. Step 5: Solve for x
    x = 108,521,055.06/11,924.94
  6. Step 6: Final answer
    x = 9,100.34

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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.