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Finding the Fourth Proportional to 19,525, 29,289.12 and 5,674

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Solution

The fourth proportional to 19,525, 29,289.12 and 5,674 is: 8,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,525 : 29,289.12 = 5,674 : x
  2. Step 2: Convert to fraction form
    19,525/29,289.12 = 5,674/x
  3. Step 3: Cross multiply
    19,525x = 29,289.12 × 5,674
  4. Step 4: Simplify right side
    19,525x = 166,186,466.88
  5. Step 5: Solve for x
    x = 166,186,466.88/19,525
  6. Step 6: Final answer
    x = 8,511.47

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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.