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Finding the Fourth Proportional to 12,832.23, 19,254.73 and 7,206.41

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Solution

The fourth proportional to 12,832.23, 19,254.73 and 7,206.41 is: 10,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.23 : 19,254.73 = 7,206.41 : x
  2. Step 2: Convert to fraction form
    12,832.23/19,254.73 = 7,206.41/x
  3. Step 3: Cross multiply
    12,832.23x = 19,254.73 × 7,206.41
  4. Step 4: Simplify right side
    12,832.23x = 138,757,478.82
  5. Step 5: Solve for x
    x = 138,757,478.82/12,832.23
  6. Step 6: Final answer
    x = 10,813.20

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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.