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Finding the Fourth Proportional to 13,494.87, 18,627.71 and 8,896.02

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Solution

The fourth proportional to 13,494.87, 18,627.71 and 8,896.02 is: 12,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.87 : 18,627.71 = 8,896.02 : x
  2. Step 2: Convert to fraction form
    13,494.87/18,627.71 = 8,896.02/x
  3. Step 3: Cross multiply
    13,494.87x = 18,627.71 × 8,896.02
  4. Step 4: Simplify right side
    13,494.87x = 165,712,480.71
  5. Step 5: Solve for x
    x = 165,712,480.71/13,494.87
  6. Step 6: Final answer
    x = 12,279.66

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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.