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Finding the Fourth Proportional to 14,213.79, 19,612.80 and 8,244.23

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Solution

The fourth proportional to 14,213.79, 19,612.80 and 8,244.23 is: 11,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.79 : 19,612.80 = 8,244.23 : x
  2. Step 2: Convert to fraction form
    14,213.79/19,612.80 = 8,244.23/x
  3. Step 3: Cross multiply
    14,213.79x = 19,612.80 × 8,244.23
  4. Step 4: Simplify right side
    14,213.79x = 161,692,336.08
  5. Step 5: Solve for x
    x = 161,692,336.08/14,213.79
  6. Step 6: Final answer
    x = 11,375.74

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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.