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Finding the Fourth Proportional to 13,546.59, 18,695.22 and 7,578.81

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Solution

The fourth proportional to 13,546.59, 18,695.22 and 7,578.81 is: 10,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.59 : 18,695.22 = 7,578.81 : x
  2. Step 2: Convert to fraction form
    13,546.59/18,695.22 = 7,578.81/x
  3. Step 3: Cross multiply
    13,546.59x = 18,695.22 × 7,578.81
  4. Step 4: Simplify right side
    13,546.59x = 141,687,520.29
  5. Step 5: Solve for x
    x = 141,687,520.29/13,546.59
  6. Step 6: Final answer
    x = 10,459.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.