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Finding the Fourth Proportional to 19,793.44, 27,319.44 and 12,340

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Solution

The fourth proportional to 19,793.44, 27,319.44 and 12,340 is: 17,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793.44 : 27,319.44 = 12,340 : x
  2. Step 2: Convert to fraction form
    19,793.44/27,319.44 = 12,340/x
  3. Step 3: Cross multiply
    19,793.44x = 27,319.44 × 12,340
  4. Step 4: Simplify right side
    19,793.44x = 337,121,889.60
  5. Step 5: Solve for x
    x = 337,121,889.60/19,793.44
  6. Step 6: Final answer
    x = 17,032.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.