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Finding the Fourth Proportional to 26,677.86, 40,023.27 and 7,957.14

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Solution

The fourth proportional to 26,677.86, 40,023.27 and 7,957.14 is: 11,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,677.86 : 40,023.27 = 7,957.14 : x
  2. Step 2: Convert to fraction form
    26,677.86/40,023.27 = 7,957.14/x
  3. Step 3: Cross multiply
    26,677.86x = 40,023.27 × 7,957.14
  4. Step 4: Simplify right side
    26,677.86x = 318,470,762.65
  5. Step 5: Solve for x
    x = 318,470,762.65/26,677.86
  6. Step 6: Final answer
    x = 11,937.64

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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.