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Finding the Fourth Proportional to 16,704.47, 23,024.17 and 13,336.49

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Solution

The fourth proportional to 16,704.47, 23,024.17 and 13,336.49 is: 18,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704.47 : 23,024.17 = 13,336.49 : x
  2. Step 2: Convert to fraction form
    16,704.47/23,024.17 = 13,336.49/x
  3. Step 3: Cross multiply
    16,704.47x = 23,024.17 × 13,336.49
  4. Step 4: Simplify right side
    16,704.47x = 307,061,612.96
  5. Step 5: Solve for x
    x = 307,061,612.96/16,704.47
  6. Step 6: Final answer
    x = 18,382.00

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Why These Related Problems?

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