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Finding the Fourth Proportional to 13,700.64, 18,905.44 and 8,036

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Solution

The fourth proportional to 13,700.64, 18,905.44 and 8,036 is: 11,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.64 : 18,905.44 = 8,036 : x
  2. Step 2: Convert to fraction form
    13,700.64/18,905.44 = 8,036/x
  3. Step 3: Cross multiply
    13,700.64x = 18,905.44 × 8,036
  4. Step 4: Simplify right side
    13,700.64x = 151,924,115.84
  5. Step 5: Solve for x
    x = 151,924,115.84/13,700.64
  6. Step 6: Final answer
    x = 11,088.83

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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.