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Finding the Fourth Proportional to 14,283.14, 19,710.94 and 8,230.05

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Solution

The fourth proportional to 14,283.14, 19,710.94 and 8,230.05 is: 11,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.14 : 19,710.94 = 8,230.05 : x
  2. Step 2: Convert to fraction form
    14,283.14/19,710.94 = 8,230.05/x
  3. Step 3: Cross multiply
    14,283.14x = 19,710.94 × 8,230.05
  4. Step 4: Simplify right side
    14,283.14x = 162,222,021.75
  5. Step 5: Solve for x
    x = 162,222,021.75/14,283.14
  6. Step 6: Final answer
    x = 11,357.59

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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.