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Finding the Fourth Proportional to 12,430.92, 18,658.62 and 10,364.16

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Solution

The fourth proportional to 12,430.92, 18,658.62 and 10,364.16 is: 15,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.92 : 18,658.62 = 10,364.16 : x
  2. Step 2: Convert to fraction form
    12,430.92/18,658.62 = 10,364.16/x
  3. Step 3: Cross multiply
    12,430.92x = 18,658.62 × 10,364.16
  4. Step 4: Simplify right side
    12,430.92x = 193,380,923.06
  5. Step 5: Solve for x
    x = 193,380,923.06/12,430.92
  6. Step 6: Final answer
    x = 15,556.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.