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Finding the Fourth Proportional to 12,852.89, 19,226.03 and 12,065.57

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Solution

The fourth proportional to 12,852.89, 19,226.03 and 12,065.57 is: 18,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.89 : 19,226.03 = 12,065.57 : x
  2. Step 2: Convert to fraction form
    12,852.89/19,226.03 = 12,065.57/x
  3. Step 3: Cross multiply
    12,852.89x = 19,226.03 × 12,065.57
  4. Step 4: Simplify right side
    12,852.89x = 231,972,950.46
  5. Step 5: Solve for x
    x = 231,972,950.46/12,852.89
  6. Step 6: Final answer
    x = 18,048.31

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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.