Finding the Fourth Proportional to 16,854.30, 23,263.56 and 9,783
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Solution
The fourth proportional to 16,854.30, 23,263.56 and 9,783 is: 13,503.23
Step by Step Solution
- Step 1: Write the proportion equation
16,854.30 : 23,263.56 = 9,783 : x - Step 2: Convert to fraction form
16,854.30/23,263.56 = 9,783/x - Step 3: Cross multiply
16,854.30x = 23,263.56 × 9,783 - Step 4: Simplify right side
16,854.30x = 227,587,407.48 - Step 5: Solve for x
x = 227,587,407.48/16,854.30 - Step 6: Final answer
x = 13,503.23
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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.