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Finding the Fourth Proportional to 26,472, 39,708.96 and 8,004

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Solution

The fourth proportional to 26,472, 39,708.96 and 8,004 is: 12,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,472 : 39,708.96 = 8,004 : x
  2. Step 2: Convert to fraction form
    26,472/39,708.96 = 8,004/x
  3. Step 3: Cross multiply
    26,472x = 39,708.96 × 8,004
  4. Step 4: Simplify right side
    26,472x = 317,830,515.84
  5. Step 5: Solve for x
    x = 317,830,515.84/26,472
  6. Step 6: Final answer
    x = 12,006.29

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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.