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Finding the Fourth Proportional to 12,778.70, 17,633.36 and 9,423.32

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Solution

The fourth proportional to 12,778.70, 17,633.36 and 9,423.32 is: 13,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.70 : 17,633.36 = 9,423.32 : x
  2. Step 2: Convert to fraction form
    12,778.70/17,633.36 = 9,423.32/x
  3. Step 3: Cross multiply
    12,778.70x = 17,633.36 × 9,423.32
  4. Step 4: Simplify right side
    12,778.70x = 166,164,729.35
  5. Step 5: Solve for x
    x = 166,164,729.35/12,778.70
  6. Step 6: Final answer
    x = 13,003.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.