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Finding the Fourth Proportional to 19,598, 27,046.44 and 11,100.92

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Solution

The fourth proportional to 19,598, 27,046.44 and 11,100.92 is: 15,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,598 : 27,046.44 = 11,100.92 : x
  2. Step 2: Convert to fraction form
    19,598/27,046.44 = 11,100.92/x
  3. Step 3: Cross multiply
    19,598x = 27,046.44 × 11,100.92
  4. Step 4: Simplify right side
    19,598x = 300,240,366.72
  5. Step 5: Solve for x
    x = 300,240,366.72/19,598
  6. Step 6: Final answer
    x = 15,319.95

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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.