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Finding the Fourth Proportional to 12,852.69, 19,271.87 and 3,965.50

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Solution

The fourth proportional to 12,852.69, 19,271.87 and 3,965.50 is: 5,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.69 : 19,271.87 = 3,965.50 : x
  2. Step 2: Convert to fraction form
    12,852.69/19,271.87 = 3,965.50/x
  3. Step 3: Cross multiply
    12,852.69x = 19,271.87 × 3,965.50
  4. Step 4: Simplify right side
    12,852.69x = 76,422,569.65
  5. Step 5: Solve for x
    x = 76,422,569.65/12,852.69
  6. Step 6: Final answer
    x = 5,946.04

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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.