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Finding the Fourth Proportional to 13,494.97, 18,622.74 and 7,526.62

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Solution

The fourth proportional to 13,494.97, 18,622.74 and 7,526.62 is: 10,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.97 : 18,622.74 = 7,526.62 : x
  2. Step 2: Convert to fraction form
    13,494.97/18,622.74 = 7,526.62/x
  3. Step 3: Cross multiply
    13,494.97x = 18,622.74 × 7,526.62
  4. Step 4: Simplify right side
    13,494.97x = 140,166,287.34
  5. Step 5: Solve for x
    x = 140,166,287.34/13,494.97
  6. Step 6: Final answer
    x = 10,386.56

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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.