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Finding the Fourth Proportional to 13,038.26, 17,986.17 and 8,250.15

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Solution

The fourth proportional to 13,038.26, 17,986.17 and 8,250.15 is: 11,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.26 : 17,986.17 = 8,250.15 : x
  2. Step 2: Convert to fraction form
    13,038.26/17,986.17 = 8,250.15/x
  3. Step 3: Cross multiply
    13,038.26x = 17,986.17 × 8,250.15
  4. Step 4: Simplify right side
    13,038.26x = 148,388,559.17
  5. Step 5: Solve for x
    x = 148,388,559.17/13,038.26
  6. Step 6: Final answer
    x = 11,381.01

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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.