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Finding the Fourth Proportional to 12,434.01, 17,145.78 and 9,601.84

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Solution

The fourth proportional to 12,434.01, 17,145.78 and 9,601.84 is: 13,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.01 : 17,145.78 = 9,601.84 : x
  2. Step 2: Convert to fraction form
    12,434.01/17,145.78 = 9,601.84/x
  3. Step 3: Cross multiply
    12,434.01x = 17,145.78 × 9,601.84
  4. Step 4: Simplify right side
    12,434.01x = 164,631,021.66
  5. Step 5: Solve for x
    x = 164,631,021.66/12,434.01
  6. Step 6: Final answer
    x = 13,240.38

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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.