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Finding the Fourth Proportional to 17,726.77, 24,463.02 and 9,769.42

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Solution

The fourth proportional to 17,726.77, 24,463.02 and 9,769.42 is: 13,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.77 : 24,463.02 = 9,769.42 : x
  2. Step 2: Convert to fraction form
    17,726.77/24,463.02 = 9,769.42/x
  3. Step 3: Cross multiply
    17,726.77x = 24,463.02 × 9,769.42
  4. Step 4: Simplify right side
    17,726.77x = 238,989,516.85
  5. Step 5: Solve for x
    x = 238,989,516.85/17,726.77
  6. Step 6: Final answer
    x = 13,481.84

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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.