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Finding the Fourth Proportional to 23,111.52, 34,659.84 and 7,525.50

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Solution

The fourth proportional to 23,111.52, 34,659.84 and 7,525.50 is: 11,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,111.52 : 34,659.84 = 7,525.50 : x
  2. Step 2: Convert to fraction form
    23,111.52/34,659.84 = 7,525.50/x
  3. Step 3: Cross multiply
    23,111.52x = 34,659.84 × 7,525.50
  4. Step 4: Simplify right side
    23,111.52x = 260,832,625.92
  5. Step 5: Solve for x
    x = 260,832,625.92/23,111.52
  6. Step 6: Final answer
    x = 11,285.83

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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.