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Finding the Fourth Proportional to 17,474.01, 24,114.57 and 9,516.67

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Solution

The fourth proportional to 17,474.01, 24,114.57 and 9,516.67 is: 13,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.01 : 24,114.57 = 9,516.67 : x
  2. Step 2: Convert to fraction form
    17,474.01/24,114.57 = 9,516.67/x
  3. Step 3: Cross multiply
    17,474.01x = 24,114.57 × 9,516.67
  4. Step 4: Simplify right side
    17,474.01x = 229,490,236.73
  5. Step 5: Solve for x
    x = 229,490,236.73/17,474.01
  6. Step 6: Final answer
    x = 13,133.23

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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.