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Finding the Fourth Proportional to 17,582.25, 26,379.86 and 9,261.93

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Solution

The fourth proportional to 17,582.25, 26,379.86 and 9,261.93 is: 13,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.25 : 26,379.86 = 9,261.93 : x
  2. Step 2: Convert to fraction form
    17,582.25/26,379.86 = 9,261.93/x
  3. Step 3: Cross multiply
    17,582.25x = 26,379.86 × 9,261.93
  4. Step 4: Simplify right side
    17,582.25x = 244,328,370.42
  5. Step 5: Solve for x
    x = 244,328,370.42/17,582.25
  6. Step 6: Final answer
    x = 13,896.31

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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.