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Finding the Fourth Proportional to 17,416.14, 24,034.49 and 9,458.49

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Solution

The fourth proportional to 17,416.14, 24,034.49 and 9,458.49 is: 13,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.14 : 24,034.49 = 9,458.49 : x
  2. Step 2: Convert to fraction form
    17,416.14/24,034.49 = 9,458.49/x
  3. Step 3: Cross multiply
    17,416.14x = 24,034.49 × 9,458.49
  4. Step 4: Simplify right side
    17,416.14x = 227,329,983.32
  5. Step 5: Solve for x
    x = 227,329,983.32/17,416.14
  6. Step 6: Final answer
    x = 13,052.83

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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.