Finding the Fourth Proportional to 21,831.69, 30,126.42 and 12,882
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Solution
The fourth proportional to 21,831.69, 30,126.42 and 12,882 is: 17,776.39
Step by Step Solution
- Step 1: Write the proportion equation
21,831.69 : 30,126.42 = 12,882 : x - Step 2: Convert to fraction form
21,831.69/30,126.42 = 12,882/x - Step 3: Cross multiply
21,831.69x = 30,126.42 × 12,882 - Step 4: Simplify right side
21,831.69x = 388,088,542.44 - Step 5: Solve for x
x = 388,088,542.44/21,831.69 - Step 6: Final answer
x = 17,776.39
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.