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Finding the Fourth Proportional to 19,802.64, 27,331.92 and 11,846.64

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Solution

The fourth proportional to 19,802.64, 27,331.92 and 11,846.64 is: 16,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.64 : 27,331.92 = 11,846.64 : x
  2. Step 2: Convert to fraction form
    19,802.64/27,331.92 = 11,846.64/x
  3. Step 3: Cross multiply
    19,802.64x = 27,331.92 × 11,846.64
  4. Step 4: Simplify right side
    19,802.64x = 323,791,416.75
  5. Step 5: Solve for x
    x = 323,791,416.75/19,802.64
  6. Step 6: Final answer
    x = 16,350.92

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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.