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Finding the Fourth Proportional to 13,006.88, 17,943.96 and 8,290.16

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Solution

The fourth proportional to 13,006.88, 17,943.96 and 8,290.16 is: 11,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.88 : 17,943.96 = 8,290.16 : x
  2. Step 2: Convert to fraction form
    13,006.88/17,943.96 = 8,290.16/x
  3. Step 3: Cross multiply
    13,006.88x = 17,943.96 × 8,290.16
  4. Step 4: Simplify right side
    13,006.88x = 148,758,299.43
  5. Step 5: Solve for x
    x = 148,758,299.43/13,006.88
  6. Step 6: Final answer
    x = 11,436.89

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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.