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Finding the Fourth Proportional to 26,004, 39,005.94 and 8,473.80

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Solution

The fourth proportional to 26,004, 39,005.94 and 8,473.80 is: 12,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004 : 39,005.94 = 8,473.80 : x
  2. Step 2: Convert to fraction form
    26,004/39,005.94 = 8,473.80/x
  3. Step 3: Cross multiply
    26,004x = 39,005.94 × 8,473.80
  4. Step 4: Simplify right side
    26,004x = 330,528,534.37
  5. Step 5: Solve for x
    x = 330,528,534.37/26,004
  6. Step 6: Final answer
    x = 12,710.68

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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.