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Finding the Fourth Proportional to 16,240.88, 24,361.80 and 6,382.64

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Solution

The fourth proportional to 16,240.88, 24,361.80 and 6,382.64 is: 9,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240.88 : 24,361.80 = 6,382.64 : x
  2. Step 2: Convert to fraction form
    16,240.88/24,361.80 = 6,382.64/x
  3. Step 3: Cross multiply
    16,240.88x = 24,361.80 × 6,382.64
  4. Step 4: Simplify right side
    16,240.88x = 155,492,599.15
  5. Step 5: Solve for x
    x = 155,492,599.15/16,240.88
  6. Step 6: Final answer
    x = 9,574.15

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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.