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Finding the Fourth Proportional to 14,433.81, 21,652.98 and 6,113.85

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Solution

The fourth proportional to 14,433.81, 21,652.98 and 6,113.85 is: 9,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.81 : 21,652.98 = 6,113.85 : x
  2. Step 2: Convert to fraction form
    14,433.81/21,652.98 = 6,113.85/x
  3. Step 3: Cross multiply
    14,433.81x = 21,652.98 × 6,113.85
  4. Step 4: Simplify right side
    14,433.81x = 132,383,071.77
  5. Step 5: Solve for x
    x = 132,383,071.77/14,433.81
  6. Step 6: Final answer
    x = 9,171.73

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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.