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Finding the Fourth Proportional to 14,383.40, 19,846.77 and 8,009.91

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Solution

The fourth proportional to 14,383.40, 19,846.77 and 8,009.91 is: 11,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.40 : 19,846.77 = 8,009.91 : x
  2. Step 2: Convert to fraction form
    14,383.40/19,846.77 = 8,009.91/x
  3. Step 3: Cross multiply
    14,383.40x = 19,846.77 × 8,009.91
  4. Step 4: Simplify right side
    14,383.40x = 158,970,841.49
  5. Step 5: Solve for x
    x = 158,970,841.49/14,383.40
  6. Step 6: Final answer
    x = 11,052.39

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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.