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Finding the Fourth Proportional to 21,499.26, 29,682.84 and 14,782.74

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Solution

The fourth proportional to 21,499.26, 29,682.84 and 14,782.74 is: 20,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.26 : 29,682.84 = 14,782.74 : x
  2. Step 2: Convert to fraction form
    21,499.26/29,682.84 = 14,782.74/x
  3. Step 3: Cross multiply
    21,499.26x = 29,682.84 × 14,782.74
  4. Step 4: Simplify right side
    21,499.26x = 438,793,706.18
  5. Step 5: Solve for x
    x = 438,793,706.18/21,499.26
  6. Step 6: Final answer
    x = 20,409.71

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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.