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Finding the Fourth Proportional to 19,608.66, 29,384.91 and 15,205.50

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Solution

The fourth proportional to 19,608.66, 29,384.91 and 15,205.50 is: 22,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.66 : 29,384.91 = 15,205.50 : x
  2. Step 2: Convert to fraction form
    19,608.66/29,384.91 = 15,205.50/x
  3. Step 3: Cross multiply
    19,608.66x = 29,384.91 × 15,205.50
  4. Step 4: Simplify right side
    19,608.66x = 446,812,249.01
  5. Step 5: Solve for x
    x = 446,812,249.01/19,608.66
  6. Step 6: Final answer
    x = 22,786.48

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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.