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Finding the Fourth Proportional to 39,762.26, 59,643.66 and 11,682.80

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Solution

The fourth proportional to 39,762.26, 59,643.66 and 11,682.80 is: 17,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762.26 : 59,643.66 = 11,682.80 : x
  2. Step 2: Convert to fraction form
    39,762.26/59,643.66 = 11,682.80/x
  3. Step 3: Cross multiply
    39,762.26x = 59,643.66 × 11,682.80
  4. Step 4: Simplify right side
    39,762.26x = 696,804,951.05
  5. Step 5: Solve for x
    x = 696,804,951.05/39,762.26
  6. Step 6: Final answer
    x = 17,524.28

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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.