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Finding the Fourth Proportional to 17,733.36, 24,472.08 and 9,667.08

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Solution

The fourth proportional to 17,733.36, 24,472.08 and 9,667.08 is: 13,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.36 : 24,472.08 = 9,667.08 : x
  2. Step 2: Convert to fraction form
    17,733.36/24,472.08 = 9,667.08/x
  3. Step 3: Cross multiply
    17,733.36x = 24,472.08 × 9,667.08
  4. Step 4: Simplify right side
    17,733.36x = 236,573,610.65
  5. Step 5: Solve for x
    x = 236,573,610.65/17,733.36
  6. Step 6: Final answer
    x = 13,340.59

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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.