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Finding the Fourth Proportional to 23,058.28, 34,586.61 and 7,475.50

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Solution

The fourth proportional to 23,058.28, 34,586.61 and 7,475.50 is: 11,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,058.28 : 34,586.61 = 7,475.50 : x
  2. Step 2: Convert to fraction form
    23,058.28/34,586.61 = 7,475.50/x
  3. Step 3: Cross multiply
    23,058.28x = 34,586.61 × 7,475.50
  4. Step 4: Simplify right side
    23,058.28x = 258,552,203.06
  5. Step 5: Solve for x
    x = 258,552,203.06/23,058.28
  6. Step 6: Final answer
    x = 11,212.99

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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.