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Finding the Fourth Proportional to 24,161, 33,342.28 and 14,096.40

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Solution

The fourth proportional to 24,161, 33,342.28 and 14,096.40 is: 19,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,161 : 33,342.28 = 14,096.40 : x
  2. Step 2: Convert to fraction form
    24,161/33,342.28 = 14,096.40/x
  3. Step 3: Cross multiply
    24,161x = 33,342.28 × 14,096.40
  4. Step 4: Simplify right side
    24,161x = 470,006,115.79
  5. Step 5: Solve for x
    x = 470,006,115.79/24,161
  6. Step 6: Final answer
    x = 19,453.09

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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.