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Finding the Fourth Proportional to 23,049.77, 34,598.34 and 11,953.47

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Solution

The fourth proportional to 23,049.77, 34,598.34 and 11,953.47 is: 17,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049.77 : 34,598.34 = 11,953.47 : x
  2. Step 2: Convert to fraction form
    23,049.77/34,598.34 = 11,953.47/x
  3. Step 3: Cross multiply
    23,049.77x = 34,598.34 × 11,953.47
  4. Step 4: Simplify right side
    23,049.77x = 413,570,348.98
  5. Step 5: Solve for x
    x = 413,570,348.98/23,049.77
  6. Step 6: Final answer
    x = 17,942.50

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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.