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Finding the Fourth Proportional to 14,433.78, 19,917.18 and 8,144.94

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Solution

The fourth proportional to 14,433.78, 19,917.18 and 8,144.94 is: 11,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.78 : 19,917.18 = 8,144.94 : x
  2. Step 2: Convert to fraction form
    14,433.78/19,917.18 = 8,144.94/x
  3. Step 3: Cross multiply
    14,433.78x = 19,917.18 × 8,144.94
  4. Step 4: Simplify right side
    14,433.78x = 162,224,236.07
  5. Step 5: Solve for x
    x = 162,224,236.07/14,433.78
  6. Step 6: Final answer
    x = 11,239.21

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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.