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Finding the Fourth Proportional to 13,057.85, 19,580.18 and 6,394.88

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Solution

The fourth proportional to 13,057.85, 19,580.18 and 6,394.88 is: 9,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.85 : 19,580.18 = 6,394.88 : x
  2. Step 2: Convert to fraction form
    13,057.85/19,580.18 = 6,394.88/x
  3. Step 3: Cross multiply
    13,057.85x = 19,580.18 × 6,394.88
  4. Step 4: Simplify right side
    13,057.85x = 125,212,771.60
  5. Step 5: Solve for x
    x = 125,212,771.60/13,057.85
  6. Step 6: Final answer
    x = 9,589.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.