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Finding the Fourth Proportional to 12,852.66, 19,270.21 and 6,849.64

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Solution

The fourth proportional to 12,852.66, 19,270.21 and 6,849.64 is: 10,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.66 : 19,270.21 = 6,849.64 : x
  2. Step 2: Convert to fraction form
    12,852.66/19,270.21 = 6,849.64/x
  3. Step 3: Cross multiply
    12,852.66x = 19,270.21 × 6,849.64
  4. Step 4: Simplify right side
    12,852.66x = 131,994,001.22
  5. Step 5: Solve for x
    x = 131,994,001.22/12,852.66
  6. Step 6: Final answer
    x = 10,269.78

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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.