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Finding the Fourth Proportional to 17,219.75, 23,765.63 and 9,564.74

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Solution

The fourth proportional to 17,219.75, 23,765.63 and 9,564.74 is: 13,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.75 : 23,765.63 = 9,564.74 : x
  2. Step 2: Convert to fraction form
    17,219.75/23,765.63 = 9,564.74/x
  3. Step 3: Cross multiply
    17,219.75x = 23,765.63 × 9,564.74
  4. Step 4: Simplify right side
    17,219.75x = 227,311,905.23
  5. Step 5: Solve for x
    x = 227,311,905.23/17,219.75
  6. Step 6: Final answer
    x = 13,200.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.