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Finding the Fourth Proportional to 14,514.09, 20,033.59 and 8,549.20

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Solution

The fourth proportional to 14,514.09, 20,033.59 and 8,549.20 is: 11,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.09 : 20,033.59 = 8,549.20 : x
  2. Step 2: Convert to fraction form
    14,514.09/20,033.59 = 8,549.20/x
  3. Step 3: Cross multiply
    14,514.09x = 20,033.59 × 8,549.20
  4. Step 4: Simplify right side
    14,514.09x = 171,271,167.63
  5. Step 5: Solve for x
    x = 171,271,167.63/14,514.09
  6. Step 6: Final answer
    x = 11,800.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.