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Finding the Fourth Proportional to 11,714.88, 17,651.32 and 9,680.40

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Solution

The fourth proportional to 11,714.88, 17,651.32 and 9,680.40 is: 14,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.88 : 17,651.32 = 9,680.40 : x
  2. Step 2: Convert to fraction form
    11,714.88/17,651.32 = 9,680.40/x
  3. Step 3: Cross multiply
    11,714.88x = 17,651.32 × 9,680.40
  4. Step 4: Simplify right side
    11,714.88x = 170,871,838.13
  5. Step 5: Solve for x
    x = 170,871,838.13/11,714.88
  6. Step 6: Final answer
    x = 14,585.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.