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Finding the Fourth Proportional to 14,563.52, 21,846.10 and 4,175

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Solution

The fourth proportional to 14,563.52, 21,846.10 and 4,175 is: 6,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.52 : 21,846.10 = 4,175 : x
  2. Step 2: Convert to fraction form
    14,563.52/21,846.10 = 4,175/x
  3. Step 3: Cross multiply
    14,563.52x = 21,846.10 × 4,175
  4. Step 4: Simplify right side
    14,563.52x = 91,207,467.50
  5. Step 5: Solve for x
    x = 91,207,467.50/14,563.52
  6. Step 6: Final answer
    x = 6,262.74

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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.