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Finding the Fourth Proportional to 25,794.67, 35,602.97 and 15,728.65

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Solution

The fourth proportional to 25,794.67, 35,602.97 and 15,728.65 is: 21,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794.67 : 35,602.97 = 15,728.65 : x
  2. Step 2: Convert to fraction form
    25,794.67/35,602.97 = 15,728.65/x
  3. Step 3: Cross multiply
    25,794.67x = 35,602.97 × 15,728.65
  4. Step 4: Simplify right side
    25,794.67x = 559,986,654.09
  5. Step 5: Solve for x
    x = 559,986,654.09/25,794.67
  6. Step 6: Final answer
    x = 21,709.39

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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.