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Finding the Fourth Proportional to 21,710.50, 29,960.49 and 12,278.86

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Solution

The fourth proportional to 21,710.50, 29,960.49 and 12,278.86 is: 16,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.50 : 29,960.49 = 12,278.86 : x
  2. Step 2: Convert to fraction form
    21,710.50/29,960.49 = 12,278.86/x
  3. Step 3: Cross multiply
    21,710.50x = 29,960.49 × 12,278.86
  4. Step 4: Simplify right side
    21,710.50x = 367,880,662.24
  5. Step 5: Solve for x
    x = 367,880,662.24/21,710.50
  6. Step 6: Final answer
    x = 16,944.83

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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.