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Finding the Fourth Proportional to 13,726.50, 20,590.25 and 3,866.64

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Solution

The fourth proportional to 13,726.50, 20,590.25 and 3,866.64 is: 5,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.50 : 20,590.25 = 3,866.64 : x
  2. Step 2: Convert to fraction form
    13,726.50/20,590.25 = 3,866.64/x
  3. Step 3: Cross multiply
    13,726.50x = 20,590.25 × 3,866.64
  4. Step 4: Simplify right side
    13,726.50x = 79,615,064.93
  5. Step 5: Solve for x
    x = 79,615,064.93/13,726.50
  6. Step 6: Final answer
    x = 5,800.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.