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Finding the Fourth Proportional to 14,396.96, 19,867.10 and 8,020.64

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Solution

The fourth proportional to 14,396.96, 19,867.10 and 8,020.64 is: 11,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.96 : 19,867.10 = 8,020.64 : x
  2. Step 2: Convert to fraction form
    14,396.96/19,867.10 = 8,020.64/x
  3. Step 3: Cross multiply
    14,396.96x = 19,867.10 × 8,020.64
  4. Step 4: Simplify right side
    14,396.96x = 159,346,856.94
  5. Step 5: Solve for x
    x = 159,346,856.94/14,396.96
  6. Step 6: Final answer
    x = 11,068.09

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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.