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Finding the Fourth Proportional to 12,733.26, 17,572.08 and 7,698.06

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Solution

The fourth proportional to 12,733.26, 17,572.08 and 7,698.06 is: 10,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.26 : 17,572.08 = 7,698.06 : x
  2. Step 2: Convert to fraction form
    12,733.26/17,572.08 = 7,698.06/x
  3. Step 3: Cross multiply
    12,733.26x = 17,572.08 × 7,698.06
  4. Step 4: Simplify right side
    12,733.26x = 135,270,926.16
  5. Step 5: Solve for x
    x = 135,270,926.16/12,733.26
  6. Step 6: Final answer
    x = 10,623.43

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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.