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Finding the Fourth Proportional to 19,734.76, 27,234.12 and 10,782.10

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Solution

The fourth proportional to 19,734.76, 27,234.12 and 10,782.10 is: 14,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734.76 : 27,234.12 = 10,782.10 : x
  2. Step 2: Convert to fraction form
    19,734.76/27,234.12 = 10,782.10/x
  3. Step 3: Cross multiply
    19,734.76x = 27,234.12 × 10,782.10
  4. Step 4: Simplify right side
    19,734.76x = 293,641,005.25
  5. Step 5: Solve for x
    x = 293,641,005.25/19,734.76
  6. Step 6: Final answer
    x = 14,879.38

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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.