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Finding the Fourth Proportional to 17,886.24, 26,838 and 7,364.07

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Solution

The fourth proportional to 17,886.24, 26,838 and 7,364.07 is: 11,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.24 : 26,838 = 7,364.07 : x
  2. Step 2: Convert to fraction form
    17,886.24/26,838 = 7,364.07/x
  3. Step 3: Cross multiply
    17,886.24x = 26,838 × 7,364.07
  4. Step 4: Simplify right side
    17,886.24x = 197,636,910.66
  5. Step 5: Solve for x
    x = 197,636,910.66/17,886.24
  6. Step 6: Final answer
    x = 11,049.66

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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.