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Finding the Fourth Proportional to 23,793.88, 35,696.04 and 9,754

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Solution

The fourth proportional to 23,793.88, 35,696.04 and 9,754 is: 14,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.88 : 35,696.04 = 9,754 : x
  2. Step 2: Convert to fraction form
    23,793.88/35,696.04 = 9,754/x
  3. Step 3: Cross multiply
    23,793.88x = 35,696.04 × 9,754
  4. Step 4: Simplify right side
    23,793.88x = 348,179,174.16
  5. Step 5: Solve for x
    x = 348,179,174.16/23,793.88
  6. Step 6: Final answer
    x = 14,633.14

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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.