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Finding the Fourth Proportional to 12,974.92, 17,904.31 and 7,307.84

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Solution

The fourth proportional to 12,974.92, 17,904.31 and 7,307.84 is: 10,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.92 : 17,904.31 = 7,307.84 : x
  2. Step 2: Convert to fraction form
    12,974.92/17,904.31 = 7,307.84/x
  3. Step 3: Cross multiply
    12,974.92x = 17,904.31 × 7,307.84
  4. Step 4: Simplify right side
    12,974.92x = 130,841,859.28
  5. Step 5: Solve for x
    x = 130,841,859.28/12,974.92
  6. Step 6: Final answer
    x = 10,084.22

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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.