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Finding the Fourth Proportional to 19,641.77, 27,105.76 and 10,689.36

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Solution

The fourth proportional to 19,641.77, 27,105.76 and 10,689.36 is: 14,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.77 : 27,105.76 = 10,689.36 : x
  2. Step 2: Convert to fraction form
    19,641.77/27,105.76 = 10,689.36/x
  3. Step 3: Cross multiply
    19,641.77x = 27,105.76 × 10,689.36
  4. Step 4: Simplify right side
    19,641.77x = 289,743,234.26
  5. Step 5: Solve for x
    x = 289,743,234.26/19,641.77
  6. Step 6: Final answer
    x = 14,751.38

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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.