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Finding the Fourth Proportional to 18,005.02, 27,007.93 and 4,857.50

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Solution

The fourth proportional to 18,005.02, 27,007.93 and 4,857.50 is: 7,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,005.02 : 27,007.93 = 4,857.50 : x
  2. Step 2: Convert to fraction form
    18,005.02/27,007.93 = 4,857.50/x
  3. Step 3: Cross multiply
    18,005.02x = 27,007.93 × 4,857.50
  4. Step 4: Simplify right side
    18,005.02x = 131,191,019.98
  5. Step 5: Solve for x
    x = 131,191,019.98/18,005.02
  6. Step 6: Final answer
    x = 7,286.36

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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.