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Finding the Fourth Proportional to 14,437.41, 19,923.62 and 8,149.78

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Solution

The fourth proportional to 14,437.41, 19,923.62 and 8,149.78 is: 11,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.41 : 19,923.62 = 8,149.78 : x
  2. Step 2: Convert to fraction form
    14,437.41/19,923.62 = 8,149.78/x
  3. Step 3: Cross multiply
    14,437.41x = 19,923.62 × 8,149.78
  4. Step 4: Simplify right side
    14,437.41x = 162,373,149.80
  5. Step 5: Solve for x
    x = 162,373,149.80/14,437.41
  6. Step 6: Final answer
    x = 11,246.70

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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.