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Finding the Fourth Proportional to 23,930.85, 35,898.73 and 9,152.20

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Solution

The fourth proportional to 23,930.85, 35,898.73 and 9,152.20 is: 13,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.85 : 35,898.73 = 9,152.20 : x
  2. Step 2: Convert to fraction form
    23,930.85/35,898.73 = 9,152.20/x
  3. Step 3: Cross multiply
    23,930.85x = 35,898.73 × 9,152.20
  4. Step 4: Simplify right side
    23,930.85x = 328,552,362.87
  5. Step 5: Solve for x
    x = 328,552,362.87/23,930.85
  6. Step 6: Final answer
    x = 13,729.24

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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.