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Finding the Fourth Proportional to 14,424.72, 19,905.72 and 8,137.68

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Solution

The fourth proportional to 14,424.72, 19,905.72 and 8,137.68 is: 11,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.72 : 19,905.72 = 8,137.68 : x
  2. Step 2: Convert to fraction form
    14,424.72/19,905.72 = 8,137.68/x
  3. Step 3: Cross multiply
    14,424.72x = 19,905.72 × 8,137.68
  4. Step 4: Simplify right side
    14,424.72x = 161,986,379.53
  5. Step 5: Solve for x
    x = 161,986,379.53/14,424.72
  6. Step 6: Final answer
    x = 11,229.78

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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.