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Finding the Fourth Proportional to 16,103.84, 22,223.52 and 9,729.54

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Solution

The fourth proportional to 16,103.84, 22,223.52 and 9,729.54 is: 13,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,103.84 : 22,223.52 = 9,729.54 : x
  2. Step 2: Convert to fraction form
    16,103.84/22,223.52 = 9,729.54/x
  3. Step 3: Cross multiply
    16,103.84x = 22,223.52 × 9,729.54
  4. Step 4: Simplify right side
    16,103.84x = 216,224,626.78
  5. Step 5: Solve for x
    x = 216,224,626.78/16,103.84
  6. Step 6: Final answer
    x = 13,426.90

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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.