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Finding the Fourth Proportional to 14,437, 19,923.24 and 8,149.42

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Solution

The fourth proportional to 14,437, 19,923.24 and 8,149.42 is: 11,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437 : 19,923.24 = 8,149.42 : x
  2. Step 2: Convert to fraction form
    14,437/19,923.24 = 8,149.42/x
  3. Step 3: Cross multiply
    14,437x = 19,923.24 × 8,149.42
  4. Step 4: Simplify right side
    14,437x = 162,362,850.52
  5. Step 5: Solve for x
    x = 162,362,850.52/14,437
  6. Step 6: Final answer
    x = 11,246.30

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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.