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Finding the Fourth Proportional to 17,117.85, 23,622.67 and 9,564.20

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Solution

The fourth proportional to 17,117.85, 23,622.67 and 9,564.20 is: 13,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.85 : 23,622.67 = 9,564.20 : x
  2. Step 2: Convert to fraction form
    17,117.85/23,622.67 = 9,564.20/x
  3. Step 3: Cross multiply
    17,117.85x = 23,622.67 × 9,564.20
  4. Step 4: Simplify right side
    17,117.85x = 225,931,940.41
  5. Step 5: Solve for x
    x = 225,931,940.41/17,117.85
  6. Step 6: Final answer
    x = 13,198.62

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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.