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Finding the Fourth Proportional to 17,044.21, 23,527.43 and 9,972.91

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Solution

The fourth proportional to 17,044.21, 23,527.43 and 9,972.91 is: 13,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,044.21 : 23,527.43 = 9,972.91 : x
  2. Step 2: Convert to fraction form
    17,044.21/23,527.43 = 9,972.91/x
  3. Step 3: Cross multiply
    17,044.21x = 23,527.43 × 9,972.91
  4. Step 4: Simplify right side
    17,044.21x = 234,636,941.92
  5. Step 5: Solve for x
    x = 234,636,941.92/17,044.21
  6. Step 6: Final answer
    x = 13,766.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.