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Finding the Fourth Proportional to 13,642.40, 20,463.60 and 9,705.80

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Solution

The fourth proportional to 13,642.40, 20,463.60 and 9,705.80 is: 14,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.40 : 20,463.60 = 9,705.80 : x
  2. Step 2: Convert to fraction form
    13,642.40/20,463.60 = 9,705.80/x
  3. Step 3: Cross multiply
    13,642.40x = 20,463.60 × 9,705.80
  4. Step 4: Simplify right side
    13,642.40x = 198,615,608.88
  5. Step 5: Solve for x
    x = 198,615,608.88/13,642.40
  6. Step 6: Final answer
    x = 14,558.70

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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.