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Finding the Fourth Proportional to 17,266.64, 23,826.28 and 9,711.20

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Solution

The fourth proportional to 17,266.64, 23,826.28 and 9,711.20 is: 13,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.64 : 23,826.28 = 9,711.20 : x
  2. Step 2: Convert to fraction form
    17,266.64/23,826.28 = 9,711.20/x
  3. Step 3: Cross multiply
    17,266.64x = 23,826.28 × 9,711.20
  4. Step 4: Simplify right side
    17,266.64x = 231,381,770.34
  5. Step 5: Solve for x
    x = 231,381,770.34/17,266.64
  6. Step 6: Final answer
    x = 13,400.51

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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.