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Finding the Fourth Proportional to 17,117.28, 23,624.22 and 9,564.12

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Solution

The fourth proportional to 17,117.28, 23,624.22 and 9,564.12 is: 13,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.28 : 23,624.22 = 9,564.12 : x
  2. Step 2: Convert to fraction form
    17,117.28/23,624.22 = 9,564.12/x
  3. Step 3: Cross multiply
    17,117.28x = 23,624.22 × 9,564.12
  4. Step 4: Simplify right side
    17,117.28x = 225,944,874.99
  5. Step 5: Solve for x
    x = 225,944,874.99/17,117.28
  6. Step 6: Final answer
    x = 13,199.81

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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.