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Finding the Fourth Proportional to 19,203.92, 28,783.92 and 8,094

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Solution

The fourth proportional to 19,203.92, 28,783.92 and 8,094 is: 12,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,203.92 : 28,783.92 = 8,094 : x
  2. Step 2: Convert to fraction form
    19,203.92/28,783.92 = 8,094/x
  3. Step 3: Cross multiply
    19,203.92x = 28,783.92 × 8,094
  4. Step 4: Simplify right side
    19,203.92x = 232,977,048.48
  5. Step 5: Solve for x
    x = 232,977,048.48/19,203.92
  6. Step 6: Final answer
    x = 12,131.74

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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.