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Finding the Fourth Proportional to 12,675.78, 19,007.40 and 7,999.50

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Solution

The fourth proportional to 12,675.78, 19,007.40 and 7,999.50 is: 11,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.78 : 19,007.40 = 7,999.50 : x
  2. Step 2: Convert to fraction form
    12,675.78/19,007.40 = 7,999.50/x
  3. Step 3: Cross multiply
    12,675.78x = 19,007.40 × 7,999.50
  4. Step 4: Simplify right side
    12,675.78x = 152,049,696.30
  5. Step 5: Solve for x
    x = 152,049,696.30/12,675.78
  6. Step 6: Final answer
    x = 11,995.29

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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.