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Finding the Fourth Proportional to 13,705.88, 18,914.46 and 8,403.62

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Solution

The fourth proportional to 13,705.88, 18,914.46 and 8,403.62 is: 11,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.88 : 18,914.46 = 8,403.62 : x
  2. Step 2: Convert to fraction form
    13,705.88/18,914.46 = 8,403.62/x
  3. Step 3: Cross multiply
    13,705.88x = 18,914.46 × 8,403.62
  4. Step 4: Simplify right side
    13,705.88x = 158,949,934.35
  5. Step 5: Solve for x
    x = 158,949,934.35/13,705.88
  6. Step 6: Final answer
    x = 11,597.21

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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.