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Finding the Fourth Proportional to 12,300.36, 18,463.10 and 9,003.66

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Solution

The fourth proportional to 12,300.36, 18,463.10 and 9,003.66 is: 13,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.36 : 18,463.10 = 9,003.66 : x
  2. Step 2: Convert to fraction form
    12,300.36/18,463.10 = 9,003.66/x
  3. Step 3: Cross multiply
    12,300.36x = 18,463.10 × 9,003.66
  4. Step 4: Simplify right side
    12,300.36x = 166,235,474.95
  5. Step 5: Solve for x
    x = 166,235,474.95/12,300.36
  6. Step 6: Final answer
    x = 13,514.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.