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Finding the Fourth Proportional to 19,798, 27,320.44 and 11,844.60

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Solution

The fourth proportional to 19,798, 27,320.44 and 11,844.60 is: 16,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798 : 27,320.44 = 11,844.60 : x
  2. Step 2: Convert to fraction form
    19,798/27,320.44 = 11,844.60/x
  3. Step 3: Cross multiply
    19,798x = 27,320.44 × 11,844.60
  4. Step 4: Simplify right side
    19,798x = 323,599,683.62
  5. Step 5: Solve for x
    x = 323,599,683.62/19,798
  6. Step 6: Final answer
    x = 16,345.07

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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.