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Finding the Fourth Proportional to 14,396.10, 19,866.33 and 8,022.70

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Solution

The fourth proportional to 14,396.10, 19,866.33 and 8,022.70 is: 11,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.10 : 19,866.33 = 8,022.70 : x
  2. Step 2: Convert to fraction form
    14,396.10/19,866.33 = 8,022.70/x
  3. Step 3: Cross multiply
    14,396.10x = 19,866.33 × 8,022.70
  4. Step 4: Simplify right side
    14,396.10x = 159,381,661.42
  5. Step 5: Solve for x
    x = 159,381,661.42/14,396.10
  6. Step 6: Final answer
    x = 11,071.17

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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.