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Finding the Fourth Proportional to 13,289.00, 18,338.83 and 7,983.81

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Solution

The fourth proportional to 13,289.00, 18,338.83 and 7,983.81 is: 11,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289.00 : 18,338.83 = 7,983.81 : x
  2. Step 2: Convert to fraction form
    13,289.00/18,338.83 = 7,983.81/x
  3. Step 3: Cross multiply
    13,289.00x = 18,338.83 × 7,983.81
  4. Step 4: Simplify right side
    13,289.00x = 146,413,714.38
  5. Step 5: Solve for x
    x = 146,413,714.38/13,289.00
  6. Step 6: Final answer
    x = 11,017.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.