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Finding the Fourth Proportional to 19,704.16, 27,183.04 and 13,328.47

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Solution

The fourth proportional to 19,704.16, 27,183.04 and 13,328.47 is: 18,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.16 : 27,183.04 = 13,328.47 : x
  2. Step 2: Convert to fraction form
    19,704.16/27,183.04 = 13,328.47/x
  3. Step 3: Cross multiply
    19,704.16x = 27,183.04 × 13,328.47
  4. Step 4: Simplify right side
    19,704.16x = 362,308,333.15
  5. Step 5: Solve for x
    x = 362,308,333.15/19,704.16
  6. Step 6: Final answer
    x = 18,387.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.