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Finding the Fourth Proportional to 26,401, 39,580.86 and 13,904.68

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Solution

The fourth proportional to 26,401, 39,580.86 and 13,904.68 is: 20,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,401 : 39,580.86 = 13,904.68 : x
  2. Step 2: Convert to fraction form
    26,401/39,580.86 = 13,904.68/x
  3. Step 3: Cross multiply
    26,401x = 39,580.86 × 13,904.68
  4. Step 4: Simplify right side
    26,401x = 550,359,192.42
  5. Step 5: Solve for x
    x = 550,359,192.42/26,401
  6. Step 6: Final answer
    x = 20,846.15

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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.