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Finding the Fourth Proportional to 17,726.70, 24,458.43 and 11,431.50

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Solution

The fourth proportional to 17,726.70, 24,458.43 and 11,431.50 is: 15,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.70 : 24,458.43 = 11,431.50 : x
  2. Step 2: Convert to fraction form
    17,726.70/24,458.43 = 11,431.50/x
  3. Step 3: Cross multiply
    17,726.70x = 24,458.43 × 11,431.50
  4. Step 4: Simplify right side
    17,726.70x = 279,596,542.55
  5. Step 5: Solve for x
    x = 279,596,542.55/17,726.70
  6. Step 6: Final answer
    x = 15,772.62

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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.