Finding the Fourth Proportional to 12,309.24, 16,984.50 and 8,115
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Solution
The fourth proportional to 12,309.24, 16,984.50 and 8,115 is: 11,197.22
Step by Step Solution
- Step 1: Write the proportion equation
12,309.24 : 16,984.50 = 8,115 : x - Step 2: Convert to fraction form
12,309.24/16,984.50 = 8,115/x - Step 3: Cross multiply
12,309.24x = 16,984.50 × 8,115 - Step 4: Simplify right side
12,309.24x = 137,829,217.50 - Step 5: Solve for x
x = 137,829,217.50/12,309.24 - Step 6: Final answer
x = 11,197.22
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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.