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Finding the Fourth Proportional to 14,274.24, 21,409.02 and 3,886.80

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Solution

The fourth proportional to 14,274.24, 21,409.02 and 3,886.80 is: 5,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.24 : 21,409.02 = 3,886.80 : x
  2. Step 2: Convert to fraction form
    14,274.24/21,409.02 = 3,886.80/x
  3. Step 3: Cross multiply
    14,274.24x = 21,409.02 × 3,886.80
  4. Step 4: Simplify right side
    14,274.24x = 83,212,578.94
  5. Step 5: Solve for x
    x = 83,212,578.94/14,274.24
  6. Step 6: Final answer
    x = 5,829.56

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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.