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Finding the Fourth Proportional to 26,842.70, 40,231.65 and 13,688.30

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Solution

The fourth proportional to 26,842.70, 40,231.65 and 13,688.30 is: 20,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.70 : 40,231.65 = 13,688.30 : x
  2. Step 2: Convert to fraction form
    26,842.70/40,231.65 = 13,688.30/x
  3. Step 3: Cross multiply
    26,842.70x = 40,231.65 × 13,688.30
  4. Step 4: Simplify right side
    26,842.70x = 550,702,894.70
  5. Step 5: Solve for x
    x = 550,702,894.70/26,842.70
  6. Step 6: Final answer
    x = 20,515.93

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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.