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Finding the Fourth Proportional to 16,133.64, 24,185.88 and 11,205.60

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Solution

The fourth proportional to 16,133.64, 24,185.88 and 11,205.60 is: 16,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.64 : 24,185.88 = 11,205.60 : x
  2. Step 2: Convert to fraction form
    16,133.64/24,185.88 = 11,205.60/x
  3. Step 3: Cross multiply
    16,133.64x = 24,185.88 × 11,205.60
  4. Step 4: Simplify right side
    16,133.64x = 271,017,296.93
  5. Step 5: Solve for x
    x = 271,017,296.93/16,133.64
  6. Step 6: Final answer
    x = 16,798.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.