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Finding the Fourth Proportional to 17,424.88, 24,046.24 and 9,467.12

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Solution

The fourth proportional to 17,424.88, 24,046.24 and 9,467.12 is: 13,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424.88 : 24,046.24 = 9,467.12 : x
  2. Step 2: Convert to fraction form
    17,424.88/24,046.24 = 9,467.12/x
  3. Step 3: Cross multiply
    17,424.88x = 24,046.24 × 9,467.12
  4. Step 4: Simplify right side
    17,424.88x = 227,648,639.63
  5. Step 5: Solve for x
    x = 227,648,639.63/17,424.88
  6. Step 6: Final answer
    x = 13,064.57

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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.