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Finding the Fourth Proportional to 18,536.64, 27,807.12 and 6,057.60

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Solution

The fourth proportional to 18,536.64, 27,807.12 and 6,057.60 is: 9,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.64 : 27,807.12 = 6,057.60 : x
  2. Step 2: Convert to fraction form
    18,536.64/27,807.12 = 6,057.60/x
  3. Step 3: Cross multiply
    18,536.64x = 27,807.12 × 6,057.60
  4. Step 4: Simplify right side
    18,536.64x = 168,444,410.11
  5. Step 5: Solve for x
    x = 168,444,410.11/18,536.64
  6. Step 6: Final answer
    x = 9,087.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.