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Finding the Fourth Proportional to 13,038.82, 17,986.92 and 8,250.67

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Solution

The fourth proportional to 13,038.82, 17,986.92 and 8,250.67 is: 11,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.82 : 17,986.92 = 8,250.67 : x
  2. Step 2: Convert to fraction form
    13,038.82/17,986.92 = 8,250.67/x
  3. Step 3: Cross multiply
    13,038.82x = 17,986.92 × 8,250.67
  4. Step 4: Simplify right side
    13,038.82x = 148,404,141.24
  5. Step 5: Solve for x
    x = 148,404,141.24/13,038.82
  6. Step 6: Final answer
    x = 11,381.72

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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.