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Finding the Fourth Proportional to 39,708, 59,563.44 and 12,006

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Solution

The fourth proportional to 39,708, 59,563.44 and 12,006 is: 18,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,708 : 59,563.44 = 12,006 : x
  2. Step 2: Convert to fraction form
    39,708/59,563.44 = 12,006/x
  3. Step 3: Cross multiply
    39,708x = 59,563.44 × 12,006
  4. Step 4: Simplify right side
    39,708x = 715,118,660.64
  5. Step 5: Solve for x
    x = 715,118,660.64/39,708
  6. Step 6: Final answer
    x = 18,009.44

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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.