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Finding the Fourth Proportional to 24,357.36, 36,487.32 and 11,191.68

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Solution

The fourth proportional to 24,357.36, 36,487.32 and 11,191.68 is: 16,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.36 : 36,487.32 = 11,191.68 : x
  2. Step 2: Convert to fraction form
    24,357.36/36,487.32 = 11,191.68/x
  3. Step 3: Cross multiply
    24,357.36x = 36,487.32 × 11,191.68
  4. Step 4: Simplify right side
    24,357.36x = 408,354,409.50
  5. Step 5: Solve for x
    x = 408,354,409.50/24,357.36
  6. Step 6: Final answer
    x = 16,765.13

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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.