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Finding the Fourth Proportional to 12,078.54, 18,107.73 and 8,388

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Solution

The fourth proportional to 12,078.54, 18,107.73 and 8,388 is: 12,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.54 : 18,107.73 = 8,388 : x
  2. Step 2: Convert to fraction form
    12,078.54/18,107.73 = 8,388/x
  3. Step 3: Cross multiply
    12,078.54x = 18,107.73 × 8,388
  4. Step 4: Simplify right side
    12,078.54x = 151,887,639.24
  5. Step 5: Solve for x
    x = 151,887,639.24/12,078.54
  6. Step 6: Final answer
    x = 12,575.00

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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.