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Finding the Fourth Proportional to 17,151, 25,728.52 and 6,055.35

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Solution

The fourth proportional to 17,151, 25,728.52 and 6,055.35 is: 9,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,151 : 25,728.52 = 6,055.35 : x
  2. Step 2: Convert to fraction form
    17,151/25,728.52 = 6,055.35/x
  3. Step 3: Cross multiply
    17,151x = 25,728.52 × 6,055.35
  4. Step 4: Simplify right side
    17,151x = 155,795,193.58
  5. Step 5: Solve for x
    x = 155,795,193.58/17,151
  6. Step 6: Final answer
    x = 9,083.74

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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.