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Finding the Fourth Proportional to 13,247.97, 18,276.96 and 8,535

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Solution

The fourth proportional to 13,247.97, 18,276.96 and 8,535 is: 11,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.97 : 18,276.96 = 8,535 : x
  2. Step 2: Convert to fraction form
    13,247.97/18,276.96 = 8,535/x
  3. Step 3: Cross multiply
    13,247.97x = 18,276.96 × 8,535
  4. Step 4: Simplify right side
    13,247.97x = 155,993,853.60
  5. Step 5: Solve for x
    x = 155,993,853.60/13,247.97
  6. Step 6: Final answer
    x = 11,774.93

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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.