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Finding the Fourth Proportional to 14,778.36, 20,393.82 and 8,064.18

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Solution

The fourth proportional to 14,778.36, 20,393.82 and 8,064.18 is: 11,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.36 : 20,393.82 = 8,064.18 : x
  2. Step 2: Convert to fraction form
    14,778.36/20,393.82 = 8,064.18/x
  3. Step 3: Cross multiply
    14,778.36x = 20,393.82 × 8,064.18
  4. Step 4: Simplify right side
    14,778.36x = 164,459,435.37
  5. Step 5: Solve for x
    x = 164,459,435.37/14,778.36
  6. Step 6: Final answer
    x = 11,128.40

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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.