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Finding the Fourth Proportional to 23,797.17, 32,840.37 and 13,186.98

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Solution

The fourth proportional to 23,797.17, 32,840.37 and 13,186.98 is: 18,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.17 : 32,840.37 = 13,186.98 : x
  2. Step 2: Convert to fraction form
    23,797.17/32,840.37 = 13,186.98/x
  3. Step 3: Cross multiply
    23,797.17x = 32,840.37 × 13,186.98
  4. Step 4: Simplify right side
    23,797.17x = 433,065,302.38
  5. Step 5: Solve for x
    x = 433,065,302.38/23,797.17
  6. Step 6: Final answer
    x = 18,198.19

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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.