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Finding the Fourth Proportional to 17,858.27, 26,784.02 and 8,971.22

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Solution

The fourth proportional to 17,858.27, 26,784.02 and 8,971.22 is: 13,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.27 : 26,784.02 = 8,971.22 : x
  2. Step 2: Convert to fraction form
    17,858.27/26,784.02 = 8,971.22/x
  3. Step 3: Cross multiply
    17,858.27x = 26,784.02 × 8,971.22
  4. Step 4: Simplify right side
    17,858.27x = 240,285,157.13
  5. Step 5: Solve for x
    x = 240,285,157.13/17,858.27
  6. Step 6: Final answer
    x = 13,455.12

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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.