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Finding the Fourth Proportional to 13,634.73, 18,817.41 and 7,666.25

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Solution

The fourth proportional to 13,634.73, 18,817.41 and 7,666.25 is: 10,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.73 : 18,817.41 = 7,666.25 : x
  2. Step 2: Convert to fraction form
    13,634.73/18,817.41 = 7,666.25/x
  3. Step 3: Cross multiply
    13,634.73x = 18,817.41 × 7,666.25
  4. Step 4: Simplify right side
    13,634.73x = 144,258,904.07
  5. Step 5: Solve for x
    x = 144,258,904.07/13,634.73
  6. Step 6: Final answer
    x = 10,580.25

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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.