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Finding the Fourth Proportional to 17,305.21, 25,978.38 and 14,565.97

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Solution

The fourth proportional to 17,305.21, 25,978.38 and 14,565.97 is: 21,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,305.21 : 25,978.38 = 14,565.97 : x
  2. Step 2: Convert to fraction form
    17,305.21/25,978.38 = 14,565.97/x
  3. Step 3: Cross multiply
    17,305.21x = 25,978.38 × 14,565.97
  4. Step 4: Simplify right side
    17,305.21x = 378,400,303.73
  5. Step 5: Solve for x
    x = 378,400,303.73/17,305.21
  6. Step 6: Final answer
    x = 21,866.26

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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.