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Finding the Fourth Proportional to 23,811.49, 35,709.95 and 16,463.17

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Solution

The fourth proportional to 23,811.49, 35,709.95 and 16,463.17 is: 24,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.49 : 35,709.95 = 16,463.17 : x
  2. Step 2: Convert to fraction form
    23,811.49/35,709.95 = 16,463.17/x
  3. Step 3: Cross multiply
    23,811.49x = 35,709.95 × 16,463.17
  4. Step 4: Simplify right side
    23,811.49x = 587,898,939.86
  5. Step 5: Solve for x
    x = 587,898,939.86/23,811.49
  6. Step 6: Final answer
    x = 24,689.72

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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.