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Finding the Fourth Proportional to 13,647.58, 20,476.38 and 5,752.09

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Solution

The fourth proportional to 13,647.58, 20,476.38 and 5,752.09 is: 8,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.58 : 20,476.38 = 5,752.09 : x
  2. Step 2: Convert to fraction form
    13,647.58/20,476.38 = 5,752.09/x
  3. Step 3: Cross multiply
    13,647.58x = 20,476.38 × 5,752.09
  4. Step 4: Simplify right side
    13,647.58x = 117,781,878.25
  5. Step 5: Solve for x
    x = 117,781,878.25/13,647.58
  6. Step 6: Final answer
    x = 8,630.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.