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Finding the Fourth Proportional to 14,830.96, 22,234.88 and 7,431.60

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Solution

The fourth proportional to 14,830.96, 22,234.88 and 7,431.60 is: 11,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.96 : 22,234.88 = 7,431.60 : x
  2. Step 2: Convert to fraction form
    14,830.96/22,234.88 = 7,431.60/x
  3. Step 3: Cross multiply
    14,830.96x = 22,234.88 × 7,431.60
  4. Step 4: Simplify right side
    14,830.96x = 165,240,734.21
  5. Step 5: Solve for x
    x = 165,240,734.21/14,830.96
  6. Step 6: Final answer
    x = 11,141.61

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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.