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Finding the Fourth Proportional to 14,918.21, 20,586.59 and 8,203.78

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Solution

The fourth proportional to 14,918.21, 20,586.59 and 8,203.78 is: 11,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918.21 : 20,586.59 = 8,203.78 : x
  2. Step 2: Convert to fraction form
    14,918.21/20,586.59 = 8,203.78/x
  3. Step 3: Cross multiply
    14,918.21x = 20,586.59 × 8,203.78
  4. Step 4: Simplify right side
    14,918.21x = 168,887,752.38
  5. Step 5: Solve for x
    x = 168,887,752.38/14,918.21
  6. Step 6: Final answer
    x = 11,320.91

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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.