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Finding the Fourth Proportional to 13,808.43, 19,057.01 and 8,430.57

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Solution

The fourth proportional to 13,808.43, 19,057.01 and 8,430.57 is: 11,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.43 : 19,057.01 = 8,430.57 : x
  2. Step 2: Convert to fraction form
    13,808.43/19,057.01 = 8,430.57/x
  3. Step 3: Cross multiply
    13,808.43x = 19,057.01 × 8,430.57
  4. Step 4: Simplify right side
    13,808.43x = 160,661,414.64
  5. Step 5: Solve for x
    x = 160,661,414.64/13,808.43
  6. Step 6: Final answer
    x = 11,635.02

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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.