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Finding the Fourth Proportional to 13,585.41, 18,747.54 and 7,617.06

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Solution

The fourth proportional to 13,585.41, 18,747.54 and 7,617.06 is: 10,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.41 : 18,747.54 = 7,617.06 : x
  2. Step 2: Convert to fraction form
    13,585.41/18,747.54 = 7,617.06/x
  3. Step 3: Cross multiply
    13,585.41x = 18,747.54 × 7,617.06
  4. Step 4: Simplify right side
    13,585.41x = 142,801,137.03
  5. Step 5: Solve for x
    x = 142,801,137.03/13,585.41
  6. Step 6: Final answer
    x = 10,511.36

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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.