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Finding the Fourth Proportional to 16,433.64, 22,673.16 and 9,721.56

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Solution

The fourth proportional to 16,433.64, 22,673.16 and 9,721.56 is: 13,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.64 : 22,673.16 = 9,721.56 : x
  2. Step 2: Convert to fraction form
    16,433.64/22,673.16 = 9,721.56/x
  3. Step 3: Cross multiply
    16,433.64x = 22,673.16 × 9,721.56
  4. Step 4: Simplify right side
    16,433.64x = 220,418,485.33
  5. Step 5: Solve for x
    x = 220,418,485.33/16,433.64
  6. Step 6: Final answer
    x = 13,412.64

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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.