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Finding the Fourth Proportional to 14,923, 22,389.38 and 4,534.76

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Solution

The fourth proportional to 14,923, 22,389.38 and 4,534.76 is: 6,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923 : 22,389.38 = 4,534.76 : x
  2. Step 2: Convert to fraction form
    14,923/22,389.38 = 4,534.76/x
  3. Step 3: Cross multiply
    14,923x = 22,389.38 × 4,534.76
  4. Step 4: Simplify right side
    14,923x = 101,530,464.85
  5. Step 5: Solve for x
    x = 101,530,464.85/14,923
  6. Step 6: Final answer
    x = 6,803.62

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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.