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Finding the Fourth Proportional to 19,768.66, 27,280.09 and 11,806.16

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Solution

The fourth proportional to 19,768.66, 27,280.09 and 11,806.16 is: 16,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.66 : 27,280.09 = 11,806.16 : x
  2. Step 2: Convert to fraction form
    19,768.66/27,280.09 = 11,806.16/x
  3. Step 3: Cross multiply
    19,768.66x = 27,280.09 × 11,806.16
  4. Step 4: Simplify right side
    19,768.66x = 322,072,985.71
  5. Step 5: Solve for x
    x = 322,072,985.71/19,768.66
  6. Step 6: Final answer
    x = 16,292.10

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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.