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Finding the Fourth Proportional to 13,560.10, 18,712.79 and 7,591.82

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Solution

The fourth proportional to 13,560.10, 18,712.79 and 7,591.82 is: 10,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,560.10 : 18,712.79 = 7,591.82 : x
  2. Step 2: Convert to fraction form
    13,560.10/18,712.79 = 7,591.82/x
  3. Step 3: Cross multiply
    13,560.10x = 18,712.79 × 7,591.82
  4. Step 4: Simplify right side
    13,560.10x = 142,064,133.38
  5. Step 5: Solve for x
    x = 142,064,133.38/13,560.10
  6. Step 6: Final answer
    x = 10,476.63

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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.