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Finding the Fourth Proportional to 14,296.16, 19,724.84 and 8,246.24

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Solution

The fourth proportional to 14,296.16, 19,724.84 and 8,246.24 is: 11,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.16 : 19,724.84 = 8,246.24 : x
  2. Step 2: Convert to fraction form
    14,296.16/19,724.84 = 8,246.24/x
  3. Step 3: Cross multiply
    14,296.16x = 19,724.84 × 8,246.24
  4. Step 4: Simplify right side
    14,296.16x = 162,655,764.60
  5. Step 5: Solve for x
    x = 162,655,764.60/14,296.16
  6. Step 6: Final answer
    x = 11,377.58

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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.