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Finding the Fourth Proportional to 12,969.69, 19,458.62 and 4,644.03

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Solution

The fourth proportional to 12,969.69, 19,458.62 and 4,644.03 is: 6,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.69 : 19,458.62 = 4,644.03 : x
  2. Step 2: Convert to fraction form
    12,969.69/19,458.62 = 4,644.03/x
  3. Step 3: Cross multiply
    12,969.69x = 19,458.62 × 4,644.03
  4. Step 4: Simplify right side
    12,969.69x = 90,366,391.82
  5. Step 5: Solve for x
    x = 90,366,391.82/12,969.69
  6. Step 6: Final answer
    x = 6,967.51

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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.