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Finding the Fourth Proportional to 10,433.24, 15,571.48 and 9,021.41

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Solution

The fourth proportional to 10,433.24, 15,571.48 and 9,021.41 is: 13,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.24 : 15,571.48 = 9,021.41 : x
  2. Step 2: Convert to fraction form
    10,433.24/15,571.48 = 9,021.41/x
  3. Step 3: Cross multiply
    10,433.24x = 15,571.48 × 9,021.41
  4. Step 4: Simplify right side
    10,433.24x = 140,476,705.39
  5. Step 5: Solve for x
    x = 140,476,705.39/10,433.24
  6. Step 6: Final answer
    x = 13,464.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.