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Finding the Fourth Proportional to 16,405.12, 24,611.52 and 5,311.36

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Solution

The fourth proportional to 16,405.12, 24,611.52 and 5,311.36 is: 7,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.12 : 24,611.52 = 5,311.36 : x
  2. Step 2: Convert to fraction form
    16,405.12/24,611.52 = 5,311.36/x
  3. Step 3: Cross multiply
    16,405.12x = 24,611.52 × 5,311.36
  4. Step 4: Simplify right side
    16,405.12x = 130,720,642.87
  5. Step 5: Solve for x
    x = 130,720,642.87/16,405.12
  6. Step 6: Final answer
    x = 7,968.28

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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.