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Finding the Fourth Proportional to 13,704.16, 20,548.26 and 5,374.42

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Solution

The fourth proportional to 13,704.16, 20,548.26 and 5,374.42 is: 8,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.16 : 20,548.26 = 5,374.42 : x
  2. Step 2: Convert to fraction form
    13,704.16/20,548.26 = 5,374.42/x
  3. Step 3: Cross multiply
    13,704.16x = 20,548.26 × 5,374.42
  4. Step 4: Simplify right side
    13,704.16x = 110,434,979.51
  5. Step 5: Solve for x
    x = 110,434,979.51/13,704.16
  6. Step 6: Final answer
    x = 8,058.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.