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Finding the Fourth Proportional to 23,517, 35,217 and 16,463.97

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Solution

The fourth proportional to 23,517, 35,217 and 16,463.97 is: 24,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517 : 35,217 = 16,463.97 : x
  2. Step 2: Convert to fraction form
    23,517/35,217 = 16,463.97/x
  3. Step 3: Cross multiply
    23,517x = 35,217 × 16,463.97
  4. Step 4: Simplify right side
    23,517x = 579,811,631.49
  5. Step 5: Solve for x
    x = 579,811,631.49/23,517
  6. Step 6: Final answer
    x = 24,655.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.