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Finding the Fourth Proportional to 14,296.90, 19,724.99 and 8,629.49

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Solution

The fourth proportional to 14,296.90, 19,724.99 and 8,629.49 is: 11,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.90 : 19,724.99 = 8,629.49 : x
  2. Step 2: Convert to fraction form
    14,296.90/19,724.99 = 8,629.49/x
  3. Step 3: Cross multiply
    14,296.90x = 19,724.99 × 8,629.49
  4. Step 4: Simplify right side
    14,296.90x = 170,216,711.83
  5. Step 5: Solve for x
    x = 170,216,711.83/14,296.90
  6. Step 6: Final answer
    x = 11,905.85

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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.