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Finding the Fourth Proportional to 17,811.62, 26,726.54 and 7,289.41

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Solution

The fourth proportional to 17,811.62, 26,726.54 and 7,289.41 is: 10,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.62 : 26,726.54 = 7,289.41 : x
  2. Step 2: Convert to fraction form
    17,811.62/26,726.54 = 7,289.41/x
  3. Step 3: Cross multiply
    17,811.62x = 26,726.54 × 7,289.41
  4. Step 4: Simplify right side
    17,811.62x = 194,820,707.94
  5. Step 5: Solve for x
    x = 194,820,707.94/17,811.62
  6. Step 6: Final answer
    x = 10,937.84

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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.