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Finding the Fourth Proportional to 24,842.64, 34,284.24 and 14,234.04

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Solution

The fourth proportional to 24,842.64, 34,284.24 and 14,234.04 is: 19,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.64 : 34,284.24 = 14,234.04 : x
  2. Step 2: Convert to fraction form
    24,842.64/34,284.24 = 14,234.04/x
  3. Step 3: Cross multiply
    24,842.64x = 34,284.24 × 14,234.04
  4. Step 4: Simplify right side
    24,842.64x = 488,003,243.53
  5. Step 5: Solve for x
    x = 488,003,243.53/24,842.64
  6. Step 6: Final answer
    x = 19,643.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.