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Finding the Fourth Proportional to 19,154.56, 26,435.70 and 10,771

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Solution

The fourth proportional to 19,154.56, 26,435.70 and 10,771 is: 14,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,154.56 : 26,435.70 = 10,771 : x
  2. Step 2: Convert to fraction form
    19,154.56/26,435.70 = 10,771/x
  3. Step 3: Cross multiply
    19,154.56x = 26,435.70 × 10,771
  4. Step 4: Simplify right side
    19,154.56x = 284,738,924.70
  5. Step 5: Solve for x
    x = 284,738,924.70/19,154.56
  6. Step 6: Final answer
    x = 14,865.33

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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.