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Finding the Fourth Proportional to 22,637.27, 31,239.62 and 12,566.44

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Solution

The fourth proportional to 22,637.27, 31,239.62 and 12,566.44 is: 17,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,637.27 : 31,239.62 = 12,566.44 : x
  2. Step 2: Convert to fraction form
    22,637.27/31,239.62 = 12,566.44/x
  3. Step 3: Cross multiply
    22,637.27x = 31,239.62 × 12,566.44
  4. Step 4: Simplify right side
    22,637.27x = 392,570,904.38
  5. Step 5: Solve for x
    x = 392,570,904.38/22,637.27
  6. Step 6: Final answer
    x = 17,341.79

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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.