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Finding the Fourth Proportional to 16,726.76, 23,082.96 and 9,274.76

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Solution

The fourth proportional to 16,726.76, 23,082.96 and 9,274.76 is: 12,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,726.76 : 23,082.96 = 9,274.76 : x
  2. Step 2: Convert to fraction form
    16,726.76/23,082.96 = 9,274.76/x
  3. Step 3: Cross multiply
    16,726.76x = 23,082.96 × 9,274.76
  4. Step 4: Simplify right side
    16,726.76x = 214,088,914.09
  5. Step 5: Solve for x
    x = 214,088,914.09/16,726.76
  6. Step 6: Final answer
    x = 12,799.19

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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.