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Finding the Fourth Proportional to 14,674.53, 22,011.81 and 5,193.90

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Solution

The fourth proportional to 14,674.53, 22,011.81 and 5,193.90 is: 7,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,674.53 : 22,011.81 = 5,193.90 : x
  2. Step 2: Convert to fraction form
    14,674.53/22,011.81 = 5,193.90/x
  3. Step 3: Cross multiply
    14,674.53x = 22,011.81 × 5,193.90
  4. Step 4: Simplify right side
    14,674.53x = 114,327,139.96
  5. Step 5: Solve for x
    x = 114,327,139.96/14,674.53
  6. Step 6: Final answer
    x = 7,790.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.