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Finding the Fourth Proportional to 19,846.33, 29,771.25 and 7,366.50

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Solution

The fourth proportional to 19,846.33, 29,771.25 and 7,366.50 is: 11,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.33 : 29,771.25 = 7,366.50 : x
  2. Step 2: Convert to fraction form
    19,846.33/29,771.25 = 7,366.50/x
  3. Step 3: Cross multiply
    19,846.33x = 29,771.25 × 7,366.50
  4. Step 4: Simplify right side
    19,846.33x = 219,309,913.13
  5. Step 5: Solve for x
    x = 219,309,913.13/19,846.33
  6. Step 6: Final answer
    x = 11,050.40

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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.