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Finding the Fourth Proportional to 23,797.51, 32,840.81 and 13,187.38

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Solution

The fourth proportional to 23,797.51, 32,840.81 and 13,187.38 is: 18,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.51 : 32,840.81 = 13,187.38 : x
  2. Step 2: Convert to fraction form
    23,797.51/32,840.81 = 13,187.38/x
  3. Step 3: Cross multiply
    23,797.51x = 32,840.81 × 13,187.38
  4. Step 4: Simplify right side
    23,797.51x = 433,084,240.98
  5. Step 5: Solve for x
    x = 433,084,240.98/23,797.51
  6. Step 6: Final answer
    x = 18,198.72

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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.