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Finding the Fourth Proportional to 13,238.90, 18,257.48 and 8,996.30

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Solution

The fourth proportional to 13,238.90, 18,257.48 and 8,996.30 is: 12,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.90 : 18,257.48 = 8,996.30 : x
  2. Step 2: Convert to fraction form
    13,238.90/18,257.48 = 8,996.30/x
  3. Step 3: Cross multiply
    13,238.90x = 18,257.48 × 8,996.30
  4. Step 4: Simplify right side
    13,238.90x = 164,249,631.06
  5. Step 5: Solve for x
    x = 164,249,631.06/13,238.90
  6. Step 6: Final answer
    x = 12,406.60

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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.