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Finding the Fourth Proportional to 12,722.65, 19,074.74 and 8,552.31

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Solution

The fourth proportional to 12,722.65, 19,074.74 and 8,552.31 is: 12,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.65 : 19,074.74 = 8,552.31 : x
  2. Step 2: Convert to fraction form
    12,722.65/19,074.74 = 8,552.31/x
  3. Step 3: Cross multiply
    12,722.65x = 19,074.74 × 8,552.31
  4. Step 4: Simplify right side
    12,722.65x = 163,133,121.98
  5. Step 5: Solve for x
    x = 163,133,121.98/12,722.65
  6. Step 6: Final answer
    x = 12,822.26

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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.