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Finding the Fourth Proportional to 19,847.81, 27,384.36 and 12,778.32

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Solution

The fourth proportional to 19,847.81, 27,384.36 and 12,778.32 is: 17,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.81 : 27,384.36 = 12,778.32 : x
  2. Step 2: Convert to fraction form
    19,847.81/27,384.36 = 12,778.32/x
  3. Step 3: Cross multiply
    19,847.81x = 27,384.36 × 12,778.32
  4. Step 4: Simplify right side
    19,847.81x = 349,926,115.08
  5. Step 5: Solve for x
    x = 349,926,115.08/19,847.81
  6. Step 6: Final answer
    x = 17,630.47

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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.