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Finding the Fourth Proportional to 15,392.50, 23,078.41 and 7,900.61

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Solution

The fourth proportional to 15,392.50, 23,078.41 and 7,900.61 is: 11,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,392.50 : 23,078.41 = 7,900.61 : x
  2. Step 2: Convert to fraction form
    15,392.50/23,078.41 = 7,900.61/x
  3. Step 3: Cross multiply
    15,392.50x = 23,078.41 × 7,900.61
  4. Step 4: Simplify right side
    15,392.50x = 182,333,401.44
  5. Step 5: Solve for x
    x = 182,333,401.44/15,392.50
  6. Step 6: Final answer
    x = 11,845.60

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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.