Finding the Fourth Proportional to 22,884, 31,580.40 and 12,948
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Solution
The fourth proportional to 22,884, 31,580.40 and 12,948 is: 17,868.51
Step by Step Solution
- Step 1: Write the proportion equation
22,884 : 31,580.40 = 12,948 : x - Step 2: Convert to fraction form
22,884/31,580.40 = 12,948/x - Step 3: Cross multiply
22,884x = 31,580.40 × 12,948 - Step 4: Simplify right side
22,884x = 408,903,019.20 - Step 5: Solve for x
x = 408,903,019.20/22,884 - Step 6: Final answer
x = 17,868.51
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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.