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Finding the Fourth Proportional to 18,649.68, 25,736.40 and 10,266

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Solution

The fourth proportional to 18,649.68, 25,736.40 and 10,266 is: 14,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649.68 : 25,736.40 = 10,266 : x
  2. Step 2: Convert to fraction form
    18,649.68/25,736.40 = 10,266/x
  3. Step 3: Cross multiply
    18,649.68x = 25,736.40 × 10,266
  4. Step 4: Simplify right side
    18,649.68x = 264,209,882.40
  5. Step 5: Solve for x
    x = 264,209,882.40/18,649.68
  6. Step 6: Final answer
    x = 14,166.99

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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.