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Finding the Fourth Proportional to 16,706, 23,054.33 and 9,254

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Solution

The fourth proportional to 16,706, 23,054.33 and 9,254 is: 12,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706 : 23,054.33 = 9,254 : x
  2. Step 2: Convert to fraction form
    16,706/23,054.33 = 9,254/x
  3. Step 3: Cross multiply
    16,706x = 23,054.33 × 9,254
  4. Step 4: Simplify right side
    16,706x = 213,344,769.82
  5. Step 5: Solve for x
    x = 213,344,769.82/16,706
  6. Step 6: Final answer
    x = 12,770.55

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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.