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Finding the Fourth Proportional to 25,843.88, 35,667.72 and 15,772.07

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Solution

The fourth proportional to 25,843.88, 35,667.72 and 15,772.07 is: 21,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,843.88 : 35,667.72 = 15,772.07 : x
  2. Step 2: Convert to fraction form
    25,843.88/35,667.72 = 15,772.07/x
  3. Step 3: Cross multiply
    25,843.88x = 35,667.72 × 15,772.07
  4. Step 4: Simplify right side
    25,843.88x = 562,553,598.24
  5. Step 5: Solve for x
    x = 562,553,598.24/25,843.88
  6. Step 6: Final answer
    x = 21,767.39

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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.