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Finding the Fourth Proportional to 12,917.00, 19,375.47 and 8,533.42

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Solution

The fourth proportional to 12,917.00, 19,375.47 and 8,533.42 is: 12,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.00 : 19,375.47 = 8,533.42 : x
  2. Step 2: Convert to fraction form
    12,917.00/19,375.47 = 8,533.42/x
  3. Step 3: Cross multiply
    12,917.00x = 19,375.47 × 8,533.42
  4. Step 4: Simplify right side
    12,917.00x = 165,338,974.77
  5. Step 5: Solve for x
    x = 165,338,974.77/12,917.00
  6. Step 6: Final answer
    x = 12,800.10

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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.