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Finding the Fourth Proportional to 12,429.92, 18,647.93 and 10,212.50

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Solution

The fourth proportional to 12,429.92, 18,647.93 and 10,212.50 is: 15,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.92 : 18,647.93 = 10,212.50 : x
  2. Step 2: Convert to fraction form
    12,429.92/18,647.93 = 10,212.50/x
  3. Step 3: Cross multiply
    12,429.92x = 18,647.93 × 10,212.50
  4. Step 4: Simplify right side
    12,429.92x = 190,441,917.42
  5. Step 5: Solve for x
    x = 190,441,917.42/12,429.92
  6. Step 6: Final answer
    x = 15,321.25

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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.