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Finding the Fourth Proportional to 20,100.24, 27,729 and 12,541.68

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Solution

The fourth proportional to 20,100.24, 27,729 and 12,541.68 is: 17,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100.24 : 27,729 = 12,541.68 : x
  2. Step 2: Convert to fraction form
    20,100.24/27,729 = 12,541.68/x
  3. Step 3: Cross multiply
    20,100.24x = 27,729 × 12,541.68
  4. Step 4: Simplify right side
    20,100.24x = 347,768,244.72
  5. Step 5: Solve for x
    x = 347,768,244.72/20,100.24
  6. Step 6: Final answer
    x = 17,301.70

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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.