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Finding the Fourth Proportional to 14,383.78, 19,845.73 and 8,416.91

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Solution

The fourth proportional to 14,383.78, 19,845.73 and 8,416.91 is: 11,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.78 : 19,845.73 = 8,416.91 : x
  2. Step 2: Convert to fraction form
    14,383.78/19,845.73 = 8,416.91/x
  3. Step 3: Cross multiply
    14,383.78x = 19,845.73 × 8,416.91
  4. Step 4: Simplify right side
    14,383.78x = 167,039,723.29
  5. Step 5: Solve for x
    x = 167,039,723.29/14,383.78
  6. Step 6: Final answer
    x = 11,613.06

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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.