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Finding the Fourth Proportional to 15,514.56, 21,409.83 and 8,440.83

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Solution

The fourth proportional to 15,514.56, 21,409.83 and 8,440.83 is: 11,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514.56 : 21,409.83 = 8,440.83 : x
  2. Step 2: Convert to fraction form
    15,514.56/21,409.83 = 8,440.83/x
  3. Step 3: Cross multiply
    15,514.56x = 21,409.83 × 8,440.83
  4. Step 4: Simplify right side
    15,514.56x = 180,716,735.36
  5. Step 5: Solve for x
    x = 180,716,735.36/15,514.56
  6. Step 6: Final answer
    x = 11,648.20

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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.