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Finding the Fourth Proportional to 27,064.50, 40,603.26 and 8,596.50

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Solution

The fourth proportional to 27,064.50, 40,603.26 and 8,596.50 is: 12,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.50 : 40,603.26 = 8,596.50 : x
  2. Step 2: Convert to fraction form
    27,064.50/40,603.26 = 8,596.50/x
  3. Step 3: Cross multiply
    27,064.50x = 40,603.26 × 8,596.50
  4. Step 4: Simplify right side
    27,064.50x = 349,045,924.59
  5. Step 5: Solve for x
    x = 349,045,924.59/27,064.50
  6. Step 6: Final answer
    x = 12,896.82

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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.