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Finding the Fourth Proportional to 18,961.50, 26,167.68 and 10,578

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Solution

The fourth proportional to 18,961.50, 26,167.68 and 10,578 is: 14,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,961.50 : 26,167.68 = 10,578 : x
  2. Step 2: Convert to fraction form
    18,961.50/26,167.68 = 10,578/x
  3. Step 3: Cross multiply
    18,961.50x = 26,167.68 × 10,578
  4. Step 4: Simplify right side
    18,961.50x = 276,801,719.04
  5. Step 5: Solve for x
    x = 276,801,719.04/18,961.50
  6. Step 6: Final answer
    x = 14,598.09

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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.