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Finding the Fourth Proportional to 23,241.50, 32,068.14 and 13,169.06

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Solution

The fourth proportional to 23,241.50, 32,068.14 and 13,169.06 is: 18,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.50 : 32,068.14 = 13,169.06 : x
  2. Step 2: Convert to fraction form
    23,241.50/32,068.14 = 13,169.06/x
  3. Step 3: Cross multiply
    23,241.50x = 32,068.14 × 13,169.06
  4. Step 4: Simplify right side
    23,241.50x = 422,307,259.75
  5. Step 5: Solve for x
    x = 422,307,259.75/23,241.50
  6. Step 6: Final answer
    x = 18,170.40

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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.