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Finding the Fourth Proportional to 19,154.68, 26,433.30 and 10,771

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Solution

The fourth proportional to 19,154.68, 26,433.30 and 10,771 is: 14,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,154.68 : 26,433.30 = 10,771 : x
  2. Step 2: Convert to fraction form
    19,154.68/26,433.30 = 10,771/x
  3. Step 3: Cross multiply
    19,154.68x = 26,433.30 × 10,771
  4. Step 4: Simplify right side
    19,154.68x = 284,713,074.30
  5. Step 5: Solve for x
    x = 284,713,074.30/19,154.68
  6. Step 6: Final answer
    x = 14,863.89

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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.