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Finding the Fourth Proportional to 12,777.49, 17,632.38 and 7,109.70

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Solution

The fourth proportional to 12,777.49, 17,632.38 and 7,109.70 is: 9,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.49 : 17,632.38 = 7,109.70 : x
  2. Step 2: Convert to fraction form
    12,777.49/17,632.38 = 7,109.70/x
  3. Step 3: Cross multiply
    12,777.49x = 17,632.38 × 7,109.70
  4. Step 4: Simplify right side
    12,777.49x = 125,360,932.09
  5. Step 5: Solve for x
    x = 125,360,932.09/12,777.49
  6. Step 6: Final answer
    x = 9,811.08

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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.