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Finding the Fourth Proportional to 14,396.94, 19,867.28 and 8,023.32

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Solution

The fourth proportional to 14,396.94, 19,867.28 and 8,023.32 is: 11,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.94 : 19,867.28 = 8,023.32 : x
  2. Step 2: Convert to fraction form
    14,396.94/19,867.28 = 8,023.32/x
  3. Step 3: Cross multiply
    14,396.94x = 19,867.28 × 8,023.32
  4. Step 4: Simplify right side
    14,396.94x = 159,401,504.85
  5. Step 5: Solve for x
    x = 159,401,504.85/14,396.94
  6. Step 6: Final answer
    x = 11,071.90

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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.