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Finding the Fourth Proportional to 13,537.90, 18,688.06 and 8,234.42

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Solution

The fourth proportional to 13,537.90, 18,688.06 and 8,234.42 is: 11,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.90 : 18,688.06 = 8,234.42 : x
  2. Step 2: Convert to fraction form
    13,537.90/18,688.06 = 8,234.42/x
  3. Step 3: Cross multiply
    13,537.90x = 18,688.06 × 8,234.42
  4. Step 4: Simplify right side
    13,537.90x = 153,885,335.03
  5. Step 5: Solve for x
    x = 153,885,335.03/13,537.90
  6. Step 6: Final answer
    x = 11,367.00

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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.