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Finding the Fourth Proportional to 24,844.96, 34,288.56 and 14,236

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Solution

The fourth proportional to 24,844.96, 34,288.56 and 14,236 is: 19,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,844.96 : 34,288.56 = 14,236 : x
  2. Step 2: Convert to fraction form
    24,844.96/34,288.56 = 14,236/x
  3. Step 3: Cross multiply
    24,844.96x = 34,288.56 × 14,236
  4. Step 4: Simplify right side
    24,844.96x = 488,131,940.16
  5. Step 5: Solve for x
    x = 488,131,940.16/24,844.96
  6. Step 6: Final answer
    x = 19,647.12

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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.