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Finding the Fourth Proportional to 17,759.92, 24,511.80 and 10,208.56

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Solution

The fourth proportional to 17,759.92, 24,511.80 and 10,208.56 is: 14,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.92 : 24,511.80 = 10,208.56 : x
  2. Step 2: Convert to fraction form
    17,759.92/24,511.80 = 10,208.56/x
  3. Step 3: Cross multiply
    17,759.92x = 24,511.80 × 10,208.56
  4. Step 4: Simplify right side
    17,759.92x = 250,230,181.01
  5. Step 5: Solve for x
    x = 250,230,181.01/17,759.92
  6. Step 6: Final answer
    x = 14,089.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.