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Finding the Fourth Proportional to 14,882.17, 20,537.99 and 8,509.80

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Solution

The fourth proportional to 14,882.17, 20,537.99 and 8,509.80 is: 11,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.17 : 20,537.99 = 8,509.80 : x
  2. Step 2: Convert to fraction form
    14,882.17/20,537.99 = 8,509.80/x
  3. Step 3: Cross multiply
    14,882.17x = 20,537.99 × 8,509.80
  4. Step 4: Simplify right side
    14,882.17x = 174,774,187.30
  5. Step 5: Solve for x
    x = 174,774,187.30/14,882.17
  6. Step 6: Final answer
    x = 11,743.86

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1.5x scale

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.