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Finding the Fourth Proportional to 18,880.25, 26,054.31 and 10,266.24

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Solution

The fourth proportional to 18,880.25, 26,054.31 and 10,266.24 is: 14,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,880.25 : 26,054.31 = 10,266.24 : x
  2. Step 2: Convert to fraction form
    18,880.25/26,054.31 = 10,266.24/x
  3. Step 3: Cross multiply
    18,880.25x = 26,054.31 × 10,266.24
  4. Step 4: Simplify right side
    18,880.25x = 267,479,799.49
  5. Step 5: Solve for x
    x = 267,479,799.49/18,880.25
  6. Step 6: Final answer
    x = 14,167.18

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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.