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Finding the Fourth Proportional to 19,730.72, 27,228.23 and 10,778.23

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Solution

The fourth proportional to 19,730.72, 27,228.23 and 10,778.23 is: 14,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.72 : 27,228.23 = 10,778.23 : x
  2. Step 2: Convert to fraction form
    19,730.72/27,228.23 = 10,778.23/x
  3. Step 3: Cross multiply
    19,730.72x = 27,228.23 × 10,778.23
  4. Step 4: Simplify right side
    19,730.72x = 293,472,125.43
  5. Step 5: Solve for x
    x = 293,472,125.43/19,730.72
  6. Step 6: Final answer
    x = 14,873.87

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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.