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Finding the Fourth Proportional to 17,653.64, 26,467.64 and 8,288.84

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Solution

The fourth proportional to 17,653.64, 26,467.64 and 8,288.84 is: 12,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.64 : 26,467.64 = 8,288.84 : x
  2. Step 2: Convert to fraction form
    17,653.64/26,467.64 = 8,288.84/x
  3. Step 3: Cross multiply
    17,653.64x = 26,467.64 × 8,288.84
  4. Step 4: Simplify right side
    17,653.64x = 219,386,033.14
  5. Step 5: Solve for x
    x = 219,386,033.14/17,653.64
  6. Step 6: Final answer
    x = 12,427.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.