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Finding the Fourth Proportional to 23,058.54, 34,592.68 and 7,474.96

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Solution

The fourth proportional to 23,058.54, 34,592.68 and 7,474.96 is: 11,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,058.54 : 34,592.68 = 7,474.96 : x
  2. Step 2: Convert to fraction form
    23,058.54/34,592.68 = 7,474.96/x
  3. Step 3: Cross multiply
    23,058.54x = 34,592.68 × 7,474.96
  4. Step 4: Simplify right side
    23,058.54x = 258,578,899.29
  5. Step 5: Solve for x
    x = 258,578,899.29/23,058.54
  6. Step 6: Final answer
    x = 11,214.02

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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.