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Finding the Fourth Proportional to 29,596.12, 44,396.45 and 9,874.64

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Solution

The fourth proportional to 29,596.12, 44,396.45 and 9,874.64 is: 14,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596.12 : 44,396.45 = 9,874.64 : x
  2. Step 2: Convert to fraction form
    29,596.12/44,396.45 = 9,874.64/x
  3. Step 3: Cross multiply
    29,596.12x = 44,396.45 × 9,874.64
  4. Step 4: Simplify right side
    29,596.12x = 438,399,115.22
  5. Step 5: Solve for x
    x = 438,399,115.22/29,596.12
  6. Step 6: Final answer
    x = 14,812.72

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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.