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Finding the Fourth Proportional to 27,410.70, 41,117.40 and 14,288.70

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Solution

The fourth proportional to 27,410.70, 41,117.40 and 14,288.70 is: 21,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410.70 : 41,117.40 = 14,288.70 : x
  2. Step 2: Convert to fraction form
    27,410.70/41,117.40 = 14,288.70/x
  3. Step 3: Cross multiply
    27,410.70x = 41,117.40 × 14,288.70
  4. Step 4: Simplify right side
    27,410.70x = 587,514,193.38
  5. Step 5: Solve for x
    x = 587,514,193.38/27,410.70
  6. Step 6: Final answer
    x = 21,433.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.