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Finding the Fourth Proportional to 12,820.70, 19,216.65 and 6,578.30

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Solution

The fourth proportional to 12,820.70, 19,216.65 and 6,578.30 is: 9,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.70 : 19,216.65 = 6,578.30 : x
  2. Step 2: Convert to fraction form
    12,820.70/19,216.65 = 6,578.30/x
  3. Step 3: Cross multiply
    12,820.70x = 19,216.65 × 6,578.30
  4. Step 4: Simplify right side
    12,820.70x = 126,412,888.70
  5. Step 5: Solve for x
    x = 126,412,888.70/12,820.70
  6. Step 6: Final answer
    x = 9,860.06

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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.