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Finding the Fourth Proportional to 12,905.70, 19,358.55 and 7,980.90

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Solution

The fourth proportional to 12,905.70, 19,358.55 and 7,980.90 is: 11,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.70 : 19,358.55 = 7,980.90 : x
  2. Step 2: Convert to fraction form
    12,905.70/19,358.55 = 7,980.90/x
  3. Step 3: Cross multiply
    12,905.70x = 19,358.55 × 7,980.90
  4. Step 4: Simplify right side
    12,905.70x = 154,498,651.70
  5. Step 5: Solve for x
    x = 154,498,651.70/12,905.70
  6. Step 6: Final answer
    x = 11,971.35

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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.