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Finding the Fourth Proportional to 23,058.88, 34,593.75 and 7,476.50

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Solution

The fourth proportional to 23,058.88, 34,593.75 and 7,476.50 is: 11,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,058.88 : 34,593.75 = 7,476.50 : x
  2. Step 2: Convert to fraction form
    23,058.88/34,593.75 = 7,476.50/x
  3. Step 3: Cross multiply
    23,058.88x = 34,593.75 × 7,476.50
  4. Step 4: Simplify right side
    23,058.88x = 258,640,258.36
  5. Step 5: Solve for x
    x = 258,640,258.36/23,058.88
  6. Step 6: Final answer
    x = 11,216.52

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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.