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Finding the Fourth Proportional to 14,762.77, 22,138.68 and 5,994.73

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Solution

The fourth proportional to 14,762.77, 22,138.68 and 5,994.73 is: 8,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.77 : 22,138.68 = 5,994.73 : x
  2. Step 2: Convert to fraction form
    14,762.77/22,138.68 = 5,994.73/x
  3. Step 3: Cross multiply
    14,762.77x = 22,138.68 × 5,994.73
  4. Step 4: Simplify right side
    14,762.77x = 132,715,409.16
  5. Step 5: Solve for x
    x = 132,715,409.16/14,762.77
  6. Step 6: Final answer
    x = 8,989.87

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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.