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Finding the Fourth Proportional to 25,781.63, 35,568.02 and 15,706.39

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Solution

The fourth proportional to 25,781.63, 35,568.02 and 15,706.39 is: 21,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781.63 : 35,568.02 = 15,706.39 : x
  2. Step 2: Convert to fraction form
    25,781.63/35,568.02 = 15,706.39/x
  3. Step 3: Cross multiply
    25,781.63x = 35,568.02 × 15,706.39
  4. Step 4: Simplify right side
    25,781.63x = 558,645,193.65
  5. Step 5: Solve for x
    x = 558,645,193.65/25,781.63
  6. Step 6: Final answer
    x = 21,668.34

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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.