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Finding the Fourth Proportional to 14,122.12, 21,186.78 and 8,283.88

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Solution

The fourth proportional to 14,122.12, 21,186.78 and 8,283.88 is: 12,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.12 : 21,186.78 = 8,283.88 : x
  2. Step 2: Convert to fraction form
    14,122.12/21,186.78 = 8,283.88/x
  3. Step 3: Cross multiply
    14,122.12x = 21,186.78 × 8,283.88
  4. Step 4: Simplify right side
    14,122.12x = 175,508,743.11
  5. Step 5: Solve for x
    x = 175,508,743.11/14,122.12
  6. Step 6: Final answer
    x = 12,427.93

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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.