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Finding the Fourth Proportional to 11,514.99, 15,821.82 and 9,153.03

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Solution

The fourth proportional to 11,514.99, 15,821.82 and 9,153.03 is: 12,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.99 : 15,821.82 = 9,153.03 : x
  2. Step 2: Convert to fraction form
    11,514.99/15,821.82 = 9,153.03/x
  3. Step 3: Cross multiply
    11,514.99x = 15,821.82 × 9,153.03
  4. Step 4: Simplify right side
    11,514.99x = 144,817,593.11
  5. Step 5: Solve for x
    x = 144,817,593.11/11,514.99
  6. Step 6: Final answer
    x = 12,576.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.