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Finding the Fourth Proportional to 13,842.90, 20,764.35 and 9,687.60

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Solution

The fourth proportional to 13,842.90, 20,764.35 and 9,687.60 is: 14,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.90 : 20,764.35 = 9,687.60 : x
  2. Step 2: Convert to fraction form
    13,842.90/20,764.35 = 9,687.60/x
  3. Step 3: Cross multiply
    13,842.90x = 20,764.35 × 9,687.60
  4. Step 4: Simplify right side
    13,842.90x = 201,156,717.06
  5. Step 5: Solve for x
    x = 201,156,717.06/13,842.90
  6. Step 6: Final answer
    x = 14,531.40

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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.