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Finding the Fourth Proportional to 13,640.26, 18,824.34 and 9,095.10

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Solution

The fourth proportional to 13,640.26, 18,824.34 and 9,095.10 is: 12,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.26 : 18,824.34 = 9,095.10 : x
  2. Step 2: Convert to fraction form
    13,640.26/18,824.34 = 9,095.10/x
  3. Step 3: Cross multiply
    13,640.26x = 18,824.34 × 9,095.10
  4. Step 4: Simplify right side
    13,640.26x = 171,209,254.73
  5. Step 5: Solve for x
    x = 171,209,254.73/13,640.26
  6. Step 6: Final answer
    x = 12,551.76

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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.