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Finding the Fourth Proportional to 23,795.73, 35,698.10 and 9,565.31

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Solution

The fourth proportional to 23,795.73, 35,698.10 and 9,565.31 is: 14,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,795.73 : 35,698.10 = 9,565.31 : x
  2. Step 2: Convert to fraction form
    23,795.73/35,698.10 = 9,565.31/x
  3. Step 3: Cross multiply
    23,795.73x = 35,698.10 × 9,565.31
  4. Step 4: Simplify right side
    23,795.73x = 341,463,434.33
  5. Step 5: Solve for x
    x = 341,463,434.33/23,795.73
  6. Step 6: Final answer
    x = 14,349.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.