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Finding the Fourth Proportional to 23,235.76, 34,825.09 and 10,738.88

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Solution

The fourth proportional to 23,235.76, 34,825.09 and 10,738.88 is: 16,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235.76 : 34,825.09 = 10,738.88 : x
  2. Step 2: Convert to fraction form
    23,235.76/34,825.09 = 10,738.88/x
  3. Step 3: Cross multiply
    23,235.76x = 34,825.09 × 10,738.88
  4. Step 4: Simplify right side
    23,235.76x = 373,982,462.50
  5. Step 5: Solve for x
    x = 373,982,462.50/23,235.76
  6. Step 6: Final answer
    x = 16,095.13

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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.