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Finding the Fourth Proportional to 14,808.64, 20,435.34 and 8,094.64

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Solution

The fourth proportional to 14,808.64, 20,435.34 and 8,094.64 is: 11,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,808.64 : 20,435.34 = 8,094.64 : x
  2. Step 2: Convert to fraction form
    14,808.64/20,435.34 = 8,094.64/x
  3. Step 3: Cross multiply
    14,808.64x = 20,435.34 × 8,094.64
  4. Step 4: Simplify right side
    14,808.64x = 165,416,720.58
  5. Step 5: Solve for x
    x = 165,416,720.58/14,808.64
  6. Step 6: Final answer
    x = 11,170.28

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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.