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Finding the Fourth Proportional to 27,871.67, 38,468.99 and 17,656.10

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Solution

The fourth proportional to 27,871.67, 38,468.99 and 17,656.10 is: 24,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.67 : 38,468.99 = 17,656.10 : x
  2. Step 2: Convert to fraction form
    27,871.67/38,468.99 = 17,656.10/x
  3. Step 3: Cross multiply
    27,871.67x = 38,468.99 × 17,656.10
  4. Step 4: Simplify right side
    27,871.67x = 679,212,330.39
  5. Step 5: Solve for x
    x = 679,212,330.39/27,871.67
  6. Step 6: Final answer
    x = 24,369.27

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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.