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Finding the Fourth Proportional to 23,930.24, 35,900.82 and 9,138.84

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Solution

The fourth proportional to 23,930.24, 35,900.82 and 9,138.84 is: 13,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.24 : 35,900.82 = 9,138.84 : x
  2. Step 2: Convert to fraction form
    23,930.24/35,900.82 = 9,138.84/x
  3. Step 3: Cross multiply
    23,930.24x = 35,900.82 × 9,138.84
  4. Step 4: Simplify right side
    23,930.24x = 328,091,849.85
  5. Step 5: Solve for x
    x = 328,091,849.85/23,930.24
  6. Step 6: Final answer
    x = 13,710.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.