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Finding the Fourth Proportional to 17,714.77, 24,446.17 and 9,756.82

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Solution

The fourth proportional to 17,714.77, 24,446.17 and 9,756.82 is: 13,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.77 : 24,446.17 = 9,756.82 : x
  2. Step 2: Convert to fraction form
    17,714.77/24,446.17 = 9,756.82/x
  3. Step 3: Cross multiply
    17,714.77x = 24,446.17 × 9,756.82
  4. Step 4: Simplify right side
    17,714.77x = 238,516,880.38
  5. Step 5: Solve for x
    x = 238,516,880.38/17,714.77
  6. Step 6: Final answer
    x = 13,464.29

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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.