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Finding the Fourth Proportional to 17,058.54, 25,587.78 and 7,701.84

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Solution

The fourth proportional to 17,058.54, 25,587.78 and 7,701.84 is: 11,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058.54 : 25,587.78 = 7,701.84 : x
  2. Step 2: Convert to fraction form
    17,058.54/25,587.78 = 7,701.84/x
  3. Step 3: Cross multiply
    17,058.54x = 25,587.78 × 7,701.84
  4. Step 4: Simplify right side
    17,058.54x = 197,072,987.52
  5. Step 5: Solve for x
    x = 197,072,987.52/17,058.54
  6. Step 6: Final answer
    x = 11,552.75

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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.