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Finding the Fourth Proportional to 12,772.17, 17,625.38 and 7,320.51

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Solution

The fourth proportional to 12,772.17, 17,625.38 and 7,320.51 is: 10,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.17 : 17,625.38 = 7,320.51 : x
  2. Step 2: Convert to fraction form
    12,772.17/17,625.38 = 7,320.51/x
  3. Step 3: Cross multiply
    12,772.17x = 17,625.38 × 7,320.51
  4. Step 4: Simplify right side
    12,772.17x = 129,026,733.94
  5. Step 5: Solve for x
    x = 129,026,733.94/12,772.17
  6. Step 6: Final answer
    x = 10,102.18

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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.