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Finding the Fourth Proportional to 14,437.40, 19,923.42 and 8,149.90

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Solution

The fourth proportional to 14,437.40, 19,923.42 and 8,149.90 is: 11,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.40 : 19,923.42 = 8,149.90 : x
  2. Step 2: Convert to fraction form
    14,437.40/19,923.42 = 8,149.90/x
  3. Step 3: Cross multiply
    14,437.40x = 19,923.42 × 8,149.90
  4. Step 4: Simplify right side
    14,437.40x = 162,373,880.66
  5. Step 5: Solve for x
    x = 162,373,880.66/14,437.40
  6. Step 6: Final answer
    x = 11,246.75

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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.