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Finding the Fourth Proportional to 12,279.51, 18,415.62 and 4,486.50

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Solution

The fourth proportional to 12,279.51, 18,415.62 and 4,486.50 is: 6,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,279.51 : 18,415.62 = 4,486.50 : x
  2. Step 2: Convert to fraction form
    12,279.51/18,415.62 = 4,486.50/x
  3. Step 3: Cross multiply
    12,279.51x = 18,415.62 × 4,486.50
  4. Step 4: Simplify right side
    12,279.51x = 82,621,679.13
  5. Step 5: Solve for x
    x = 82,621,679.13/12,279.51
  6. Step 6: Final answer
    x = 6,728.42

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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.