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Finding the Fourth Proportional to 17,508, 24,161.04 and 10,056

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Solution

The fourth proportional to 17,508, 24,161.04 and 10,056 is: 13,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,508 : 24,161.04 = 10,056 : x
  2. Step 2: Convert to fraction form
    17,508/24,161.04 = 10,056/x
  3. Step 3: Cross multiply
    17,508x = 24,161.04 × 10,056
  4. Step 4: Simplify right side
    17,508x = 242,963,418.24
  5. Step 5: Solve for x
    x = 242,963,418.24/17,508
  6. Step 6: Final answer
    x = 13,877.28

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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.