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Finding the Fourth Proportional to 15,385.50, 23,078.21 and 11,880.63

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Solution

The fourth proportional to 15,385.50, 23,078.21 and 11,880.63 is: 17,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,385.50 : 23,078.21 = 11,880.63 : x
  2. Step 2: Convert to fraction form
    15,385.50/23,078.21 = 11,880.63/x
  3. Step 3: Cross multiply
    15,385.50x = 23,078.21 × 11,880.63
  4. Step 4: Simplify right side
    15,385.50x = 274,183,614.67
  5. Step 5: Solve for x
    x = 274,183,614.67/15,385.50
  6. Step 6: Final answer
    x = 17,820.91

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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.