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Finding the Fourth Proportional to 12,980.49, 19,479.02 and 4,660.34

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Solution

The fourth proportional to 12,980.49, 19,479.02 and 4,660.34 is: 6,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.49 : 19,479.02 = 4,660.34 : x
  2. Step 2: Convert to fraction form
    12,980.49/19,479.02 = 4,660.34/x
  3. Step 3: Cross multiply
    12,980.49x = 19,479.02 × 4,660.34
  4. Step 4: Simplify right side
    12,980.49x = 90,778,735.37
  5. Step 5: Solve for x
    x = 90,778,735.37/12,980.49
  6. Step 6: Final answer
    x = 6,993.48

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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.