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Finding the Fourth Proportional to 21,097, 31,624.80 and 11,741.50

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Solution

The fourth proportional to 21,097, 31,624.80 and 11,741.50 is: 17,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097 : 31,624.80 = 11,741.50 : x
  2. Step 2: Convert to fraction form
    21,097/31,624.80 = 11,741.50/x
  3. Step 3: Cross multiply
    21,097x = 31,624.80 × 11,741.50
  4. Step 4: Simplify right side
    21,097x = 371,322,589.20
  5. Step 5: Solve for x
    x = 371,322,589.20/21,097
  6. Step 6: Final answer
    x = 17,600.73

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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.