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Finding the Fourth Proportional to 14,383.52, 19,845.38 and 8,416.66

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Solution

The fourth proportional to 14,383.52, 19,845.38 and 8,416.66 is: 11,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.52 : 19,845.38 = 8,416.66 : x
  2. Step 2: Convert to fraction form
    14,383.52/19,845.38 = 8,416.66/x
  3. Step 3: Cross multiply
    14,383.52x = 19,845.38 × 8,416.66
  4. Step 4: Simplify right side
    14,383.52x = 167,031,816.03
  5. Step 5: Solve for x
    x = 167,031,816.03/14,383.52
  6. Step 6: Final answer
    x = 11,612.72

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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.