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Finding the Fourth Proportional to 12,810.69, 19,186.52 and 12,367.44

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Solution

The fourth proportional to 12,810.69, 19,186.52 and 12,367.44 is: 18,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.69 : 19,186.52 = 12,367.44 : x
  2. Step 2: Convert to fraction form
    12,810.69/19,186.52 = 12,367.44/x
  3. Step 3: Cross multiply
    12,810.69x = 19,186.52 × 12,367.44
  4. Step 4: Simplify right side
    12,810.69x = 237,288,073.07
  5. Step 5: Solve for x
    x = 237,288,073.07/12,810.69
  6. Step 6: Final answer
    x = 18,522.66

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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.