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Finding the Fourth Proportional to 26,744.89, 40,104.34 and 13,412.16

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Solution

The fourth proportional to 26,744.89, 40,104.34 and 13,412.16 is: 20,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,744.89 : 40,104.34 = 13,412.16 : x
  2. Step 2: Convert to fraction form
    26,744.89/40,104.34 = 13,412.16/x
  3. Step 3: Cross multiply
    26,744.89x = 40,104.34 × 13,412.16
  4. Step 4: Simplify right side
    26,744.89x = 537,885,824.77
  5. Step 5: Solve for x
    x = 537,885,824.77/26,744.89
  6. Step 6: Final answer
    x = 20,111.72

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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.