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Finding the Fourth Proportional to 13,215.50, 18,232.29 and 8,435.61

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Solution

The fourth proportional to 13,215.50, 18,232.29 and 8,435.61 is: 11,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.50 : 18,232.29 = 8,435.61 : x
  2. Step 2: Convert to fraction form
    13,215.50/18,232.29 = 8,435.61/x
  3. Step 3: Cross multiply
    13,215.50x = 18,232.29 × 8,435.61
  4. Step 4: Simplify right side
    13,215.50x = 153,800,487.85
  5. Step 5: Solve for x
    x = 153,800,487.85/13,215.50
  6. Step 6: Final answer
    x = 11,637.89

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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.