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Finding the Fourth Proportional to 12,982.70, 19,491.35 and 8,780.07

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Solution

The fourth proportional to 12,982.70, 19,491.35 and 8,780.07 is: 13,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982.70 : 19,491.35 = 8,780.07 : x
  2. Step 2: Convert to fraction form
    12,982.70/19,491.35 = 8,780.07/x
  3. Step 3: Cross multiply
    12,982.70x = 19,491.35 × 8,780.07
  4. Step 4: Simplify right side
    12,982.70x = 171,135,373.49
  5. Step 5: Solve for x
    x = 171,135,373.49/12,982.70
  6. Step 6: Final answer
    x = 13,181.80

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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.