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Finding the Fourth Proportional to 13,609.35, 18,780.93 and 7,641

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Solution

The fourth proportional to 13,609.35, 18,780.93 and 7,641 is: 10,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.35 : 18,780.93 = 7,641 : x
  2. Step 2: Convert to fraction form
    13,609.35/18,780.93 = 7,641/x
  3. Step 3: Cross multiply
    13,609.35x = 18,780.93 × 7,641
  4. Step 4: Simplify right side
    13,609.35x = 143,505,086.13
  5. Step 5: Solve for x
    x = 143,505,086.13/13,609.35
  6. Step 6: Final answer
    x = 10,544.60

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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.