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Finding the Fourth Proportional to 19,727.81, 27,224.22 and 10,775.32

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Solution

The fourth proportional to 19,727.81, 27,224.22 and 10,775.32 is: 14,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,727.81 : 27,224.22 = 10,775.32 : x
  2. Step 2: Convert to fraction form
    19,727.81/27,224.22 = 10,775.32/x
  3. Step 3: Cross multiply
    19,727.81x = 27,224.22 × 10,775.32
  4. Step 4: Simplify right side
    19,727.81x = 293,349,670.55
  5. Step 5: Solve for x
    x = 293,349,670.55/19,727.81
  6. Step 6: Final answer
    x = 14,869.85

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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.