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Finding the Fourth Proportional to 13,735.43, 20,588.78 and 6,344.74

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Solution

The fourth proportional to 13,735.43, 20,588.78 and 6,344.74 is: 9,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.43 : 20,588.78 = 6,344.74 : x
  2. Step 2: Convert to fraction form
    13,735.43/20,588.78 = 6,344.74/x
  3. Step 3: Cross multiply
    13,735.43x = 20,588.78 × 6,344.74
  4. Step 4: Simplify right side
    13,735.43x = 130,630,353.07
  5. Step 5: Solve for x
    x = 130,630,353.07/13,735.43
  6. Step 6: Final answer
    x = 9,510.47

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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.