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Finding the Fourth Proportional to 28,002.81, 41,993.28 and 12,409.50

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Solution

The fourth proportional to 28,002.81, 41,993.28 and 12,409.50 is: 18,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,002.81 : 41,993.28 = 12,409.50 : x
  2. Step 2: Convert to fraction form
    28,002.81/41,993.28 = 12,409.50/x
  3. Step 3: Cross multiply
    28,002.81x = 41,993.28 × 12,409.50
  4. Step 4: Simplify right side
    28,002.81x = 521,115,608.16
  5. Step 5: Solve for x
    x = 521,115,608.16/28,002.81
  6. Step 6: Final answer
    x = 18,609.40

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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.