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Finding the Fourth Proportional to 14,108.73, 19,470.84 and 7,820.97

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Solution

The fourth proportional to 14,108.73, 19,470.84 and 7,820.97 is: 10,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.73 : 19,470.84 = 7,820.97 : x
  2. Step 2: Convert to fraction form
    14,108.73/19,470.84 = 7,820.97/x
  3. Step 3: Cross multiply
    14,108.73x = 19,470.84 × 7,820.97
  4. Step 4: Simplify right side
    14,108.73x = 152,280,855.51
  5. Step 5: Solve for x
    x = 152,280,855.51/14,108.73
  6. Step 6: Final answer
    x = 10,793.38

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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.