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Finding the Fourth Proportional to 13,546.82, 18,693.72 and 7,577.45

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Solution

The fourth proportional to 13,546.82, 18,693.72 and 7,577.45 is: 10,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.82 : 18,693.72 = 7,577.45 : x
  2. Step 2: Convert to fraction form
    13,546.82/18,693.72 = 7,577.45/x
  3. Step 3: Cross multiply
    13,546.82x = 18,693.72 × 7,577.45
  4. Step 4: Simplify right side
    13,546.82x = 141,650,728.61
  5. Step 5: Solve for x
    x = 141,650,728.61/13,546.82
  6. Step 6: Final answer
    x = 10,456.38

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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.