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Finding the Fourth Proportional to 12,307.64, 18,450.54 and 4,514.66

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Solution

The fourth proportional to 12,307.64, 18,450.54 and 4,514.66 is: 6,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.64 : 18,450.54 = 4,514.66 : x
  2. Step 2: Convert to fraction form
    12,307.64/18,450.54 = 4,514.66/x
  3. Step 3: Cross multiply
    12,307.64x = 18,450.54 × 4,514.66
  4. Step 4: Simplify right side
    12,307.64x = 83,297,914.92
  5. Step 5: Solve for x
    x = 83,297,914.92/12,307.64
  6. Step 6: Final answer
    x = 6,767.98

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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.