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Finding the Fourth Proportional to 17,655.93, 24,381 and 13,171.89

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Solution

The fourth proportional to 17,655.93, 24,381 and 13,171.89 is: 18,189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.93 : 24,381 = 13,171.89 : x
  2. Step 2: Convert to fraction form
    17,655.93/24,381 = 13,171.89/x
  3. Step 3: Cross multiply
    17,655.93x = 24,381 × 13,171.89
  4. Step 4: Simplify right side
    17,655.93x = 321,143,850.09
  5. Step 5: Solve for x
    x = 321,143,850.09/17,655.93
  6. Step 6: Final answer
    x = 18,189.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.