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Finding the Fourth Proportional to 13,265.40, 18,302.94 and 8,544

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Solution

The fourth proportional to 13,265.40, 18,302.94 and 8,544 is: 11,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.40 : 18,302.94 = 8,544 : x
  2. Step 2: Convert to fraction form
    13,265.40/18,302.94 = 8,544/x
  3. Step 3: Cross multiply
    13,265.40x = 18,302.94 × 8,544
  4. Step 4: Simplify right side
    13,265.40x = 156,380,319.36
  5. Step 5: Solve for x
    x = 156,380,319.36/13,265.40
  6. Step 6: Final answer
    x = 11,788.59

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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.