Finding the Fourth Proportional to 22,784, 34,176 and 8,192
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Solution
The fourth proportional to 22,784, 34,176 and 8,192 is: 12,288
Step by Step Solution
- Step 1: Write the proportion equation
22,784 : 34,176 = 8,192 : x - Step 2: Convert to fraction form
22,784/34,176 = 8,192/x - Step 3: Cross multiply
22,784x = 34,176 × 8,192 - Step 4: Simplify right side
22,784x = 279,969,792 - Step 5: Solve for x
x = 279,969,792/22,784 - Step 6: Final answer
x = 12,288
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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.