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Finding the Fourth Proportional to 17,009.58, 25,518 and 7,149.84

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Solution

The fourth proportional to 17,009.58, 25,518 and 7,149.84 is: 10,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009.58 : 25,518 = 7,149.84 : x
  2. Step 2: Convert to fraction form
    17,009.58/25,518 = 7,149.84/x
  3. Step 3: Cross multiply
    17,009.58x = 25,518 × 7,149.84
  4. Step 4: Simplify right side
    17,009.58x = 182,449,617.12
  5. Step 5: Solve for x
    x = 182,449,617.12/17,009.58
  6. Step 6: Final answer
    x = 10,726.29

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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.