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Finding the Fourth Proportional to 12,954.08, 17,874.60 and 7,364

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Solution

The fourth proportional to 12,954.08, 17,874.60 and 7,364 is: 10,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.08 : 17,874.60 = 7,364 : x
  2. Step 2: Convert to fraction form
    12,954.08/17,874.60 = 7,364/x
  3. Step 3: Cross multiply
    12,954.08x = 17,874.60 × 7,364
  4. Step 4: Simplify right side
    12,954.08x = 131,628,554.40
  5. Step 5: Solve for x
    x = 131,628,554.40/12,954.08
  6. Step 6: Final answer
    x = 10,161.17

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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.