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Finding the Fourth Proportional to 23,161.65, 31,963.71 and 13,089.88

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Solution

The fourth proportional to 23,161.65, 31,963.71 and 13,089.88 is: 18,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,161.65 : 31,963.71 = 13,089.88 : x
  2. Step 2: Convert to fraction form
    23,161.65/31,963.71 = 13,089.88/x
  3. Step 3: Cross multiply
    23,161.65x = 31,963.71 × 13,089.88
  4. Step 4: Simplify right side
    23,161.65x = 418,401,128.25
  5. Step 5: Solve for x
    x = 418,401,128.25/23,161.65
  6. Step 6: Final answer
    x = 18,064.39

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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.