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Finding the Fourth Proportional to 13,705.48, 18,913.62 and 8,116.12

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Solution

The fourth proportional to 13,705.48, 18,913.62 and 8,116.12 is: 11,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.48 : 18,913.62 = 8,116.12 : x
  2. Step 2: Convert to fraction form
    13,705.48/18,913.62 = 8,116.12/x
  3. Step 3: Cross multiply
    13,705.48x = 18,913.62 × 8,116.12
  4. Step 4: Simplify right side
    13,705.48x = 153,505,209.55
  5. Step 5: Solve for x
    x = 153,505,209.55/13,705.48
  6. Step 6: Final answer
    x = 11,200.28

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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.