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Finding the Fourth Proportional to 17,838.25, 24,616.26 and 9,880.31

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Solution

The fourth proportional to 17,838.25, 24,616.26 and 9,880.31 is: 13,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.25 : 24,616.26 = 9,880.31 : x
  2. Step 2: Convert to fraction form
    17,838.25/24,616.26 = 9,880.31/x
  3. Step 3: Cross multiply
    17,838.25x = 24,616.26 × 9,880.31
  4. Step 4: Simplify right side
    17,838.25x = 243,216,341.38
  5. Step 5: Solve for x
    x = 243,216,341.38/17,838.25
  6. Step 6: Final answer
    x = 13,634.54

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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.