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Finding the Fourth Proportional to 19,477, 29,200.92 and 6,321.52

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Solution

The fourth proportional to 19,477, 29,200.92 and 6,321.52 is: 9,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477 : 29,200.92 = 6,321.52 : x
  2. Step 2: Convert to fraction form
    19,477/29,200.92 = 6,321.52/x
  3. Step 3: Cross multiply
    19,477x = 29,200.92 × 6,321.52
  4. Step 4: Simplify right side
    19,477x = 184,594,199.80
  5. Step 5: Solve for x
    x = 184,594,199.80/19,477
  6. Step 6: Final answer
    x = 9,477.55

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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.