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Finding the Fourth Proportional to 19,496.84, 29,250.09 and 5,645.84

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Solution

The fourth proportional to 19,496.84, 29,250.09 and 5,645.84 is: 8,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.84 : 29,250.09 = 5,645.84 : x
  2. Step 2: Convert to fraction form
    19,496.84/29,250.09 = 5,645.84/x
  3. Step 3: Cross multiply
    19,496.84x = 29,250.09 × 5,645.84
  4. Step 4: Simplify right side
    19,496.84x = 165,141,181.88
  5. Step 5: Solve for x
    x = 165,141,181.88/19,496.84
  6. Step 6: Final answer
    x = 8,470.15

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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.