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Finding the Fourth Proportional to 27,412.79, 41,135.58 and 11,830.41

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Solution

The fourth proportional to 27,412.79, 41,135.58 and 11,830.41 is: 17,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.79 : 41,135.58 = 11,830.41 : x
  2. Step 2: Convert to fraction form
    27,412.79/41,135.58 = 11,830.41/x
  3. Step 3: Cross multiply
    27,412.79x = 41,135.58 × 11,830.41
  4. Step 4: Simplify right side
    27,412.79x = 486,650,776.99
  5. Step 5: Solve for x
    x = 486,650,776.99/27,412.79
  6. Step 6: Final answer
    x = 17,752.69

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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.