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Finding the Fourth Proportional to 14,537.50, 21,814.13 and 11,257

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Solution

The fourth proportional to 14,537.50, 21,814.13 and 11,257 is: 16,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.50 : 21,814.13 = 11,257 : x
  2. Step 2: Convert to fraction form
    14,537.50/21,814.13 = 11,257/x
  3. Step 3: Cross multiply
    14,537.50x = 21,814.13 × 11,257
  4. Step 4: Simplify right side
    14,537.50x = 245,561,661.41
  5. Step 5: Solve for x
    x = 245,561,661.41/14,537.50
  6. Step 6: Final answer
    x = 16,891.60

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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.