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Finding the Fourth Proportional to 19,782.35, 29,633.77 and 9,237.82

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Solution

The fourth proportional to 19,782.35, 29,633.77 and 9,237.82 is: 13,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.35 : 29,633.77 = 9,237.82 : x
  2. Step 2: Convert to fraction form
    19,782.35/29,633.77 = 9,237.82/x
  3. Step 3: Cross multiply
    19,782.35x = 29,633.77 × 9,237.82
  4. Step 4: Simplify right side
    19,782.35x = 273,751,433.18
  5. Step 5: Solve for x
    x = 273,751,433.18/19,782.35
  6. Step 6: Final answer
    x = 13,838.17

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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.