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Finding the Fourth Proportional to 17,963.18, 24,782.43 and 10,406.74

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Solution

The fourth proportional to 17,963.18, 24,782.43 and 10,406.74 is: 14,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,963.18 : 24,782.43 = 10,406.74 : x
  2. Step 2: Convert to fraction form
    17,963.18/24,782.43 = 10,406.74/x
  3. Step 3: Cross multiply
    17,963.18x = 24,782.43 × 10,406.74
  4. Step 4: Simplify right side
    17,963.18x = 257,904,305.58
  5. Step 5: Solve for x
    x = 257,904,305.58/17,963.18
  6. Step 6: Final answer
    x = 14,357.39

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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.