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Finding the Fourth Proportional to 12,689.96, 17,512.20 and 7,653.15

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Solution

The fourth proportional to 12,689.96, 17,512.20 and 7,653.15 is: 10,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.96 : 17,512.20 = 7,653.15 : x
  2. Step 2: Convert to fraction form
    12,689.96/17,512.20 = 7,653.15/x
  3. Step 3: Cross multiply
    12,689.96x = 17,512.20 × 7,653.15
  4. Step 4: Simplify right side
    12,689.96x = 134,023,493.43
  5. Step 5: Solve for x
    x = 134,023,493.43/12,689.96
  6. Step 6: Final answer
    x = 10,561.38

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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.