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Finding the Fourth Proportional to 15,604.92, 23,387.13 and 11,893.50

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Solution

The fourth proportional to 15,604.92, 23,387.13 and 11,893.50 is: 17,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,604.92 : 23,387.13 = 11,893.50 : x
  2. Step 2: Convert to fraction form
    15,604.92/23,387.13 = 11,893.50/x
  3. Step 3: Cross multiply
    15,604.92x = 23,387.13 × 11,893.50
  4. Step 4: Simplify right side
    15,604.92x = 278,154,830.66
  5. Step 5: Solve for x
    x = 278,154,830.66/15,604.92
  6. Step 6: Final answer
    x = 17,824.82

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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.