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Finding the Fourth Proportional to 19,732.77, 27,230.13 and 10,778.49

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Solution

The fourth proportional to 19,732.77, 27,230.13 and 10,778.49 is: 14,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.77 : 27,230.13 = 10,778.49 : x
  2. Step 2: Convert to fraction form
    19,732.77/27,230.13 = 10,778.49/x
  3. Step 3: Cross multiply
    19,732.77x = 27,230.13 × 10,778.49
  4. Step 4: Simplify right side
    19,732.77x = 293,499,683.90
  5. Step 5: Solve for x
    x = 293,499,683.90/19,732.77
  6. Step 6: Final answer
    x = 14,873.72

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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.