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Finding the Fourth Proportional to 14,080.23, 19,427.61 and 8,414.13

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Solution

The fourth proportional to 14,080.23, 19,427.61 and 8,414.13 is: 11,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.23 : 19,427.61 = 8,414.13 : x
  2. Step 2: Convert to fraction form
    14,080.23/19,427.61 = 8,414.13/x
  3. Step 3: Cross multiply
    14,080.23x = 19,427.61 × 8,414.13
  4. Step 4: Simplify right side
    14,080.23x = 163,466,436.13
  5. Step 5: Solve for x
    x = 163,466,436.13/14,080.23
  6. Step 6: Final answer
    x = 11,609.64

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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.