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Finding the Fourth Proportional to 17,409.54, 24,024.48 and 9,451.56

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Solution

The fourth proportional to 17,409.54, 24,024.48 and 9,451.56 is: 13,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.54 : 24,024.48 = 9,451.56 : x
  2. Step 2: Convert to fraction form
    17,409.54/24,024.48 = 9,451.56/x
  3. Step 3: Cross multiply
    17,409.54x = 24,024.48 × 9,451.56
  4. Step 4: Simplify right side
    17,409.54x = 227,068,814.19
  5. Step 5: Solve for x
    x = 227,068,814.19/17,409.54
  6. Step 6: Final answer
    x = 13,042.78

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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.