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Finding the Fourth Proportional to 17,853.52, 26,782.70 and 6,167.64

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Solution

The fourth proportional to 17,853.52, 26,782.70 and 6,167.64 is: 9,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.52 : 26,782.70 = 6,167.64 : x
  2. Step 2: Convert to fraction form
    17,853.52/26,782.70 = 6,167.64/x
  3. Step 3: Cross multiply
    17,853.52x = 26,782.70 × 6,167.64
  4. Step 4: Simplify right side
    17,853.52x = 165,186,051.83
  5. Step 5: Solve for x
    x = 165,186,051.83/17,853.52
  6. Step 6: Final answer
    x = 9,252.30

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