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Finding the Fourth Proportional to 13,924.60, 20,903.10 and 8,384.20

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Solution

The fourth proportional to 13,924.60, 20,903.10 and 8,384.20 is: 12,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.60 : 20,903.10 = 8,384.20 : x
  2. Step 2: Convert to fraction form
    13,924.60/20,903.10 = 8,384.20/x
  3. Step 3: Cross multiply
    13,924.60x = 20,903.10 × 8,384.20
  4. Step 4: Simplify right side
    13,924.60x = 175,255,771.02
  5. Step 5: Solve for x
    x = 175,255,771.02/13,924.60
  6. Step 6: Final answer
    x = 12,586.05

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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.