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Finding the Fourth Proportional to 22,615.29, 31,215.54 and 13,663.38

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Solution

The fourth proportional to 22,615.29, 31,215.54 and 13,663.38 is: 18,859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.29 : 31,215.54 = 13,663.38 : x
  2. Step 2: Convert to fraction form
    22,615.29/31,215.54 = 13,663.38/x
  3. Step 3: Cross multiply
    22,615.29x = 31,215.54 × 13,663.38
  4. Step 4: Simplify right side
    22,615.29x = 426,509,784.93
  5. Step 5: Solve for x
    x = 426,509,784.93/22,615.29
  6. Step 6: Final answer
    x = 18,859.36

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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.