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Finding the Fourth Proportional to 21,522.21, 29,704.17 and 17,931.48

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Solution

The fourth proportional to 21,522.21, 29,704.17 and 17,931.48 is: 24,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.21 : 29,704.17 = 17,931.48 : x
  2. Step 2: Convert to fraction form
    21,522.21/29,704.17 = 17,931.48/x
  3. Step 3: Cross multiply
    21,522.21x = 29,704.17 × 17,931.48
  4. Step 4: Simplify right side
    21,522.21x = 532,639,730.27
  5. Step 5: Solve for x
    x = 532,639,730.27/21,522.21
  6. Step 6: Final answer
    x = 24,748.38

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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.