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Finding the Fourth Proportional to 19,777.68, 27,283.98 and 11,389.32

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Solution

The fourth proportional to 19,777.68, 27,283.98 and 11,389.32 is: 15,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.68 : 27,283.98 = 11,389.32 : x
  2. Step 2: Convert to fraction form
    19,777.68/27,283.98 = 11,389.32/x
  3. Step 3: Cross multiply
    19,777.68x = 27,283.98 × 11,389.32
  4. Step 4: Simplify right side
    19,777.68x = 310,745,979.09
  5. Step 5: Solve for x
    x = 310,745,979.09/19,777.68
  6. Step 6: Final answer
    x = 15,711.95

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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.