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Finding the Fourth Proportional to 14,396.31, 19,871.91 and 8,429.94

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Solution

The fourth proportional to 14,396.31, 19,871.91 and 8,429.94 is: 11,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.31 : 19,871.91 = 8,429.94 : x
  2. Step 2: Convert to fraction form
    14,396.31/19,871.91 = 8,429.94/x
  3. Step 3: Cross multiply
    14,396.31x = 19,871.91 × 8,429.94
  4. Step 4: Simplify right side
    14,396.31x = 167,519,008.99
  5. Step 5: Solve for x
    x = 167,519,008.99/14,396.31
  6. Step 6: Final answer
    x = 11,636.25

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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.