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Finding the Fourth Proportional to 14,563.86, 21,845.88 and 4,175.64

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Solution

The fourth proportional to 14,563.86, 21,845.88 and 4,175.64 is: 6,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.86 : 21,845.88 = 4,175.64 : x
  2. Step 2: Convert to fraction form
    14,563.86/21,845.88 = 4,175.64/x
  3. Step 3: Cross multiply
    14,563.86x = 21,845.88 × 4,175.64
  4. Step 4: Simplify right side
    14,563.86x = 91,220,530.36
  5. Step 5: Solve for x
    x = 91,220,530.36/14,563.86
  6. Step 6: Final answer
    x = 6,263.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.