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Finding the Fourth Proportional to 14,424, 19,905.12 and 8,136.24

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Solution

The fourth proportional to 14,424, 19,905.12 and 8,136.24 is: 11,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424 : 19,905.12 = 8,136.24 : x
  2. Step 2: Convert to fraction form
    14,424/19,905.12 = 8,136.24/x
  3. Step 3: Cross multiply
    14,424x = 19,905.12 × 8,136.24
  4. Step 4: Simplify right side
    14,424x = 161,952,833.55
  5. Step 5: Solve for x
    x = 161,952,833.55/14,424
  6. Step 6: Final answer
    x = 11,228.01

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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.