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Finding the Fourth Proportional to 14,783.60, 20,401.34 and 9,478.41

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Solution

The fourth proportional to 14,783.60, 20,401.34 and 9,478.41 is: 13,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.60 : 20,401.34 = 9,478.41 : x
  2. Step 2: Convert to fraction form
    14,783.60/20,401.34 = 9,478.41/x
  3. Step 3: Cross multiply
    14,783.60x = 20,401.34 × 9,478.41
  4. Step 4: Simplify right side
    14,783.60x = 193,372,217.68
  5. Step 5: Solve for x
    x = 193,372,217.68/14,783.60
  6. Step 6: Final answer
    x = 13,080.19

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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.