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Finding the Fourth Proportional to 18,726.89, 25,842.51 and 10,228.77

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Solution

The fourth proportional to 18,726.89, 25,842.51 and 10,228.77 is: 14,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,726.89 : 25,842.51 = 10,228.77 : x
  2. Step 2: Convert to fraction form
    18,726.89/25,842.51 = 10,228.77/x
  3. Step 3: Cross multiply
    18,726.89x = 25,842.51 × 10,228.77
  4. Step 4: Simplify right side
    18,726.89x = 264,337,091.01
  5. Step 5: Solve for x
    x = 264,337,091.01/18,726.89
  6. Step 6: Final answer
    x = 14,115.38

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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.