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Finding the Fourth Proportional to 17,680.17, 26,521.63 and 7,149.77

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Solution

The fourth proportional to 17,680.17, 26,521.63 and 7,149.77 is: 10,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.17 : 26,521.63 = 7,149.77 : x
  2. Step 2: Convert to fraction form
    17,680.17/26,521.63 = 7,149.77/x
  3. Step 3: Cross multiply
    17,680.17x = 26,521.63 × 7,149.77
  4. Step 4: Simplify right side
    17,680.17x = 189,623,503.50
  5. Step 5: Solve for x
    x = 189,623,503.50/17,680.17
  6. Step 6: Final answer
    x = 10,725.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.