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Finding the Fourth Proportional to 14,437.54, 19,923.78 and 8,149.96

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Solution

The fourth proportional to 14,437.54, 19,923.78 and 8,149.96 is: 11,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.54 : 19,923.78 = 8,149.96 : x
  2. Step 2: Convert to fraction form
    14,437.54/19,923.78 = 8,149.96/x
  3. Step 3: Cross multiply
    14,437.54x = 19,923.78 × 8,149.96
  4. Step 4: Simplify right side
    14,437.54x = 162,378,010.05
  5. Step 5: Solve for x
    x = 162,378,010.05/14,437.54
  6. Step 6: Final answer
    x = 11,246.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.