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Finding the Fourth Proportional to 17,829, 24,604.02 and 10,377

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Solution

The fourth proportional to 17,829, 24,604.02 and 10,377 is: 14,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829 : 24,604.02 = 10,377 : x
  2. Step 2: Convert to fraction form
    17,829/24,604.02 = 10,377/x
  3. Step 3: Cross multiply
    17,829x = 24,604.02 × 10,377
  4. Step 4: Simplify right side
    17,829x = 255,315,915.54
  5. Step 5: Solve for x
    x = 255,315,915.54/17,829
  6. Step 6: Final answer
    x = 14,320.26

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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.