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Finding the Fourth Proportional to 17,804, 24,568.56 and 9,845.80

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Solution

The fourth proportional to 17,804, 24,568.56 and 9,845.80 is: 13,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804 : 24,568.56 = 9,845.80 : x
  2. Step 2: Convert to fraction form
    17,804/24,568.56 = 9,845.80/x
  3. Step 3: Cross multiply
    17,804x = 24,568.56 × 9,845.80
  4. Step 4: Simplify right side
    17,804x = 241,897,128.05
  5. Step 5: Solve for x
    x = 241,897,128.05/17,804
  6. Step 6: Final answer
    x = 13,586.67

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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.