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Finding the Fourth Proportional to 17,722.86, 26,583.66 and 8,359.47

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Solution

The fourth proportional to 17,722.86, 26,583.66 and 8,359.47 is: 12,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.86 : 26,583.66 = 8,359.47 : x
  2. Step 2: Convert to fraction form
    17,722.86/26,583.66 = 8,359.47/x
  3. Step 3: Cross multiply
    17,722.86x = 26,583.66 × 8,359.47
  4. Step 4: Simplify right side
    17,722.86x = 222,225,308.26
  5. Step 5: Solve for x
    x = 222,225,308.26/17,722.86
  6. Step 6: Final answer
    x = 12,538.91

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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.