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Finding the Fourth Proportional to 16,822.40, 23,216.16 and 9,370.24

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Solution

The fourth proportional to 16,822.40, 23,216.16 and 9,370.24 is: 12,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.40 : 23,216.16 = 9,370.24 : x
  2. Step 2: Convert to fraction form
    16,822.40/23,216.16 = 9,370.24/x
  3. Step 3: Cross multiply
    16,822.40x = 23,216.16 × 9,370.24
  4. Step 4: Simplify right side
    16,822.40x = 217,540,991.08
  5. Step 5: Solve for x
    x = 217,540,991.08/16,822.40
  6. Step 6: Final answer
    x = 12,931.63

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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.