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Finding the Fourth Proportional to 17,473, 24,113.28 and 10,021

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Solution

The fourth proportional to 17,473, 24,113.28 and 10,021 is: 13,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,473 : 24,113.28 = 10,021 : x
  2. Step 2: Convert to fraction form
    17,473/24,113.28 = 10,021/x
  3. Step 3: Cross multiply
    17,473x = 24,113.28 × 10,021
  4. Step 4: Simplify right side
    17,473x = 241,639,178.88
  5. Step 5: Solve for x
    x = 241,639,178.88/17,473
  6. Step 6: Final answer
    x = 13,829.29

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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.