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Finding the Fourth Proportional to 12,027.12, 16,597.38 and 6,721.89

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Solution

The fourth proportional to 12,027.12, 16,597.38 and 6,721.89 is: 9,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.12 : 16,597.38 = 6,721.89 : x
  2. Step 2: Convert to fraction form
    12,027.12/16,597.38 = 6,721.89/x
  3. Step 3: Cross multiply
    12,027.12x = 16,597.38 × 6,721.89
  4. Step 4: Simplify right side
    12,027.12x = 111,565,762.65
  5. Step 5: Solve for x
    x = 111,565,762.65/12,027.12
  6. Step 6: Final answer
    x = 9,276.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.