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Finding the Fourth Proportional to 17,172.56, 23,696.16 and 9,617.84

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Solution

The fourth proportional to 17,172.56, 23,696.16 and 9,617.84 is: 13,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,172.56 : 23,696.16 = 9,617.84 : x
  2. Step 2: Convert to fraction form
    17,172.56/23,696.16 = 9,617.84/x
  3. Step 3: Cross multiply
    17,172.56x = 23,696.16 × 9,617.84
  4. Step 4: Simplify right side
    17,172.56x = 227,905,875.49
  5. Step 5: Solve for x
    x = 227,905,875.49/17,172.56
  6. Step 6: Final answer
    x = 13,271.51

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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.