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Finding the Fourth Proportional to 15,514.53, 21,410.14 and 8,441.00

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Solution

The fourth proportional to 15,514.53, 21,410.14 and 8,441.00 is: 11,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514.53 : 21,410.14 = 8,441.00 : x
  2. Step 2: Convert to fraction form
    15,514.53/21,410.14 = 8,441.00/x
  3. Step 3: Cross multiply
    15,514.53x = 21,410.14 × 8,441.00
  4. Step 4: Simplify right side
    15,514.53x = 180,722,959.70
  5. Step 5: Solve for x
    x = 180,722,959.70/15,514.53
  6. Step 6: Final answer
    x = 11,648.63

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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.