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Finding the Fourth Proportional to 14,128.74, 21,186 and 5,806.44

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Solution

The fourth proportional to 14,128.74, 21,186 and 5,806.44 is: 8,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128.74 : 21,186 = 5,806.44 : x
  2. Step 2: Convert to fraction form
    14,128.74/21,186 = 5,806.44/x
  3. Step 3: Cross multiply
    14,128.74x = 21,186 × 5,806.44
  4. Step 4: Simplify right side
    14,128.74x = 123,015,237.84
  5. Step 5: Solve for x
    x = 123,015,237.84/14,128.74
  6. Step 6: Final answer
    x = 8,706.74

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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.