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Finding the Fourth Proportional to 12,949.66, 19,422.34 and 3,590.64

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Solution

The fourth proportional to 12,949.66, 19,422.34 and 3,590.64 is: 5,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949.66 : 19,422.34 = 3,590.64 : x
  2. Step 2: Convert to fraction form
    12,949.66/19,422.34 = 3,590.64/x
  3. Step 3: Cross multiply
    12,949.66x = 19,422.34 × 3,590.64
  4. Step 4: Simplify right side
    12,949.66x = 69,738,630.90
  5. Step 5: Solve for x
    x = 69,738,630.90/12,949.66
  6. Step 6: Final answer
    x = 5,385.36

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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.