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Finding the Fourth Proportional to 17,653.62, 24,362.06 and 9,695.64

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Solution

The fourth proportional to 17,653.62, 24,362.06 and 9,695.64 is: 13,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.62 : 24,362.06 = 9,695.64 : x
  2. Step 2: Convert to fraction form
    17,653.62/24,362.06 = 9,695.64/x
  3. Step 3: Cross multiply
    17,653.62x = 24,362.06 × 9,695.64
  4. Step 4: Simplify right side
    17,653.62x = 236,205,714.94
  5. Step 5: Solve for x
    x = 236,205,714.94/17,653.62
  6. Step 6: Final answer
    x = 13,380.02

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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.