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Finding the Fourth Proportional to 14,080.81, 19,430.20 and 8,414.43

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Solution

The fourth proportional to 14,080.81, 19,430.20 and 8,414.43 is: 11,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.81 : 19,430.20 = 8,414.43 : x
  2. Step 2: Convert to fraction form
    14,080.81/19,430.20 = 8,414.43/x
  3. Step 3: Cross multiply
    14,080.81x = 19,430.20 × 8,414.43
  4. Step 4: Simplify right side
    14,080.81x = 163,494,036.75
  5. Step 5: Solve for x
    x = 163,494,036.75/14,080.81
  6. Step 6: Final answer
    x = 11,611.13

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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.