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Finding the Fourth Proportional to 22,577.91, 31,157.43 and 13,017.75

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Solution

The fourth proportional to 22,577.91, 31,157.43 and 13,017.75 is: 17,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.91 : 31,157.43 = 13,017.75 : x
  2. Step 2: Convert to fraction form
    22,577.91/31,157.43 = 13,017.75/x
  3. Step 3: Cross multiply
    22,577.91x = 31,157.43 × 13,017.75
  4. Step 4: Simplify right side
    22,577.91x = 405,599,634.38
  5. Step 5: Solve for x
    x = 405,599,634.38/22,577.91
  6. Step 6: Final answer
    x = 17,964.45

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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.