Finding the Fourth Proportional to 28,012, 42,023.76 and 11,596
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Solution
The fourth proportional to 28,012, 42,023.76 and 11,596 is: 17,396.38
Step by Step Solution
- Step 1: Write the proportion equation
28,012 : 42,023.76 = 11,596 : x - Step 2: Convert to fraction form
28,012/42,023.76 = 11,596/x - Step 3: Cross multiply
28,012x = 42,023.76 × 11,596 - Step 4: Simplify right side
28,012x = 487,307,520.96 - Step 5: Solve for x
x = 487,307,520.96/28,012 - Step 6: Final answer
x = 17,396.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.