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Finding the Fourth Proportional to 26,090, 36,004.20 and 14,912.24

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Solution

The fourth proportional to 26,090, 36,004.20 and 14,912.24 is: 20,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,090 : 36,004.20 = 14,912.24 : x
  2. Step 2: Convert to fraction form
    26,090/36,004.20 = 14,912.24/x
  3. Step 3: Cross multiply
    26,090x = 36,004.20 × 14,912.24
  4. Step 4: Simplify right side
    26,090x = 536,903,271.41
  5. Step 5: Solve for x
    x = 536,903,271.41/26,090
  6. Step 6: Final answer
    x = 20,578.89

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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.