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Finding the Fourth Proportional to 17,714.34, 24,445.08 and 9,756

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Solution

The fourth proportional to 17,714.34, 24,445.08 and 9,756 is: 13,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.34 : 24,445.08 = 9,756 : x
  2. Step 2: Convert to fraction form
    17,714.34/24,445.08 = 9,756/x
  3. Step 3: Cross multiply
    17,714.34x = 24,445.08 × 9,756
  4. Step 4: Simplify right side
    17,714.34x = 238,486,200.48
  5. Step 5: Solve for x
    x = 238,486,200.48/17,714.34
  6. Step 6: Final answer
    x = 13,462.89

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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.