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Finding the Fourth Proportional to 23,751.50, 35,639.38 and 9,721.88

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Solution

The fourth proportional to 23,751.50, 35,639.38 and 9,721.88 is: 14,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751.50 : 35,639.38 = 9,721.88 : x
  2. Step 2: Convert to fraction form
    23,751.50/35,639.38 = 9,721.88/x
  3. Step 3: Cross multiply
    23,751.50x = 35,639.38 × 9,721.88
  4. Step 4: Simplify right side
    23,751.50x = 346,481,775.63
  5. Step 5: Solve for x
    x = 346,481,775.63/23,751.50
  6. Step 6: Final answer
    x = 14,587.79

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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.