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Finding the Fourth Proportional to 13,829.58, 19,057.14 and 9,630.54

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Solution

The fourth proportional to 13,829.58, 19,057.14 and 9,630.54 is: 13,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.58 : 19,057.14 = 9,630.54 : x
  2. Step 2: Convert to fraction form
    13,829.58/19,057.14 = 9,630.54/x
  3. Step 3: Cross multiply
    13,829.58x = 19,057.14 × 9,630.54
  4. Step 4: Simplify right side
    13,829.58x = 183,530,549.06
  5. Step 5: Solve for x
    x = 183,530,549.06/13,829.58
  6. Step 6: Final answer
    x = 13,270.87

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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.