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Finding the Fourth Proportional to 19,806.76, 27,333 and 11,844.46

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Solution

The fourth proportional to 19,806.76, 27,333 and 11,844.46 is: 16,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.76 : 27,333 = 11,844.46 : x
  2. Step 2: Convert to fraction form
    19,806.76/27,333 = 11,844.46/x
  3. Step 3: Cross multiply
    19,806.76x = 27,333 × 11,844.46
  4. Step 4: Simplify right side
    19,806.76x = 323,744,625.18
  5. Step 5: Solve for x
    x = 323,744,625.18/19,806.76
  6. Step 6: Final answer
    x = 16,345.16

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