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Finding the Fourth Proportional to 17,173.35, 23,701.01 and 13,827.24

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Solution

The fourth proportional to 17,173.35, 23,701.01 and 13,827.24 is: 19,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,173.35 : 23,701.01 = 13,827.24 : x
  2. Step 2: Convert to fraction form
    17,173.35/23,701.01 = 13,827.24/x
  3. Step 3: Cross multiply
    17,173.35x = 23,701.01 × 13,827.24
  4. Step 4: Simplify right side
    17,173.35x = 327,719,484.38
  5. Step 5: Solve for x
    x = 327,719,484.38/17,173.35
  6. Step 6: Final answer
    x = 19,083.03

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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.