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Finding the Fourth Proportional to 19,684.64, 27,161.52 and 11,301.68

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Solution

The fourth proportional to 19,684.64, 27,161.52 and 11,301.68 is: 15,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.64 : 27,161.52 = 11,301.68 : x
  2. Step 2: Convert to fraction form
    19,684.64/27,161.52 = 11,301.68/x
  3. Step 3: Cross multiply
    19,684.64x = 27,161.52 × 11,301.68
  4. Step 4: Simplify right side
    19,684.64x = 306,970,807.35
  5. Step 5: Solve for x
    x = 306,970,807.35/19,684.64
  6. Step 6: Final answer
    x = 15,594.43

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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.