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Finding the Fourth Proportional to 19,803.88, 27,328.52 and 11,841.40

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Solution

The fourth proportional to 19,803.88, 27,328.52 and 11,841.40 is: 16,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.88 : 27,328.52 = 11,841.40 : x
  2. Step 2: Convert to fraction form
    19,803.88/27,328.52 = 11,841.40/x
  3. Step 3: Cross multiply
    19,803.88x = 27,328.52 × 11,841.40
  4. Step 4: Simplify right side
    19,803.88x = 323,607,936.73
  5. Step 5: Solve for x
    x = 323,607,936.73/19,803.88
  6. Step 6: Final answer
    x = 16,340.63

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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.