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Finding the Fourth Proportional to 16,535.28, 22,818.78 and 9,821.22

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Solution

The fourth proportional to 16,535.28, 22,818.78 and 9,821.22 is: 13,553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.28 : 22,818.78 = 9,821.22 : x
  2. Step 2: Convert to fraction form
    16,535.28/22,818.78 = 9,821.22/x
  3. Step 3: Cross multiply
    16,535.28x = 22,818.78 × 9,821.22
  4. Step 4: Simplify right side
    16,535.28x = 224,108,258.51
  5. Step 5: Solve for x
    x = 224,108,258.51/16,535.28
  6. Step 6: Final answer
    x = 13,553.34

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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.