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Finding the Fourth Proportional to 17,117.75, 23,623.01 and 9,564.41

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Solution

The fourth proportional to 17,117.75, 23,623.01 and 9,564.41 is: 13,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.75 : 23,623.01 = 9,564.41 : x
  2. Step 2: Convert to fraction form
    17,117.75/23,623.01 = 9,564.41/x
  3. Step 3: Cross multiply
    17,117.75x = 23,623.01 × 9,564.41
  4. Step 4: Simplify right side
    17,117.75x = 225,940,153.07
  5. Step 5: Solve for x
    x = 225,940,153.07/17,117.75
  6. Step 6: Final answer
    x = 13,199.17

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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.