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Finding the Fourth Proportional to 17,307.96, 25,966.17 and 7,447.38

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Solution

The fourth proportional to 17,307.96, 25,966.17 and 7,447.38 is: 11,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307.96 : 25,966.17 = 7,447.38 : x
  2. Step 2: Convert to fraction form
    17,307.96/25,966.17 = 7,447.38/x
  3. Step 3: Cross multiply
    17,307.96x = 25,966.17 × 7,447.38
  4. Step 4: Simplify right side
    17,307.96x = 193,379,935.13
  5. Step 5: Solve for x
    x = 193,379,935.13/17,307.96
  6. Step 6: Final answer
    x = 11,172.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.