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Finding the Fourth Proportional to 21,477.86, 29,633.37 and 13,924.50

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Solution

The fourth proportional to 21,477.86, 29,633.37 and 13,924.50 is: 19,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.86 : 29,633.37 = 13,924.50 : x
  2. Step 2: Convert to fraction form
    21,477.86/29,633.37 = 13,924.50/x
  3. Step 3: Cross multiply
    21,477.86x = 29,633.37 × 13,924.50
  4. Step 4: Simplify right side
    21,477.86x = 412,629,860.57
  5. Step 5: Solve for x
    x = 412,629,860.57/21,477.86
  6. Step 6: Final answer
    x = 19,211.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.