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Finding the Fourth Proportional to 17,467.26, 24,104.88 and 9,509.49

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Solution

The fourth proportional to 17,467.26, 24,104.88 and 9,509.49 is: 13,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.26 : 24,104.88 = 9,509.49 : x
  2. Step 2: Convert to fraction form
    17,467.26/24,104.88 = 9,509.49/x
  3. Step 3: Cross multiply
    17,467.26x = 24,104.88 × 9,509.49
  4. Step 4: Simplify right side
    17,467.26x = 229,225,115.31
  5. Step 5: Solve for x
    x = 229,225,115.31/17,467.26
  6. Step 6: Final answer
    x = 13,123.13

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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.