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Finding the Fourth Proportional to 15,083.24, 20,809.49 and 9,415.84

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Solution

The fourth proportional to 15,083.24, 20,809.49 and 9,415.84 is: 12,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.24 : 20,809.49 = 9,415.84 : x
  2. Step 2: Convert to fraction form
    15,083.24/20,809.49 = 9,415.84/x
  3. Step 3: Cross multiply
    15,083.24x = 20,809.49 × 9,415.84
  4. Step 4: Simplify right side
    15,083.24x = 195,938,846.29
  5. Step 5: Solve for x
    x = 195,938,846.29/15,083.24
  6. Step 6: Final answer
    x = 12,990.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.