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Finding the Fourth Proportional to 36,457.76, 54,692.40 and 11,828

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Solution

The fourth proportional to 36,457.76, 54,692.40 and 11,828 is: 17,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,457.76 : 54,692.40 = 11,828 : x
  2. Step 2: Convert to fraction form
    36,457.76/54,692.40 = 11,828/x
  3. Step 3: Cross multiply
    36,457.76x = 54,692.40 × 11,828
  4. Step 4: Simplify right side
    36,457.76x = 646,901,707.20
  5. Step 5: Solve for x
    x = 646,901,707.20/36,457.76
  6. Step 6: Final answer
    x = 17,743.87

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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.