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Finding the Fourth Proportional to 16,984.54, 23,434.68 and 9,908.38

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Solution

The fourth proportional to 16,984.54, 23,434.68 and 9,908.38 is: 13,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.54 : 23,434.68 = 9,908.38 : x
  2. Step 2: Convert to fraction form
    16,984.54/23,434.68 = 9,908.38/x
  3. Step 3: Cross multiply
    16,984.54x = 23,434.68 × 9,908.38
  4. Step 4: Simplify right side
    16,984.54x = 232,199,714.62
  5. Step 5: Solve for x
    x = 232,199,714.62/16,984.54
  6. Step 6: Final answer
    x = 13,671.24

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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.