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Finding the Fourth Proportional to 15,704.97, 21,674.15 and 9,417.21

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Solution

The fourth proportional to 15,704.97, 21,674.15 and 9,417.21 is: 12,996.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.97 : 21,674.15 = 9,417.21 : x
  2. Step 2: Convert to fraction form
    15,704.97/21,674.15 = 9,417.21/x
  3. Step 3: Cross multiply
    15,704.97x = 21,674.15 × 9,417.21
  4. Step 4: Simplify right side
    15,704.97x = 204,109,975.04
  5. Step 5: Solve for x
    x = 204,109,975.04/15,704.97
  6. Step 6: Final answer
    x = 12,996.52

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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.