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Finding the Fourth Proportional to 17,671.38, 24,386.46 and 9,714.09

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Solution

The fourth proportional to 17,671.38, 24,386.46 and 9,714.09 is: 13,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.38 : 24,386.46 = 9,714.09 : x
  2. Step 2: Convert to fraction form
    17,671.38/24,386.46 = 9,714.09/x
  3. Step 3: Cross multiply
    17,671.38x = 24,386.46 × 9,714.09
  4. Step 4: Simplify right side
    17,671.38x = 236,892,267.22
  5. Step 5: Solve for x
    x = 236,892,267.22/17,671.38
  6. Step 6: Final answer
    x = 13,405.42

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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.