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Finding the Fourth Proportional to 23,153.82, 34,730.73 and 8,362.68

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Solution

The fourth proportional to 23,153.82, 34,730.73 and 8,362.68 is: 12,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.82 : 34,730.73 = 8,362.68 : x
  2. Step 2: Convert to fraction form
    23,153.82/34,730.73 = 8,362.68/x
  3. Step 3: Cross multiply
    23,153.82x = 34,730.73 × 8,362.68
  4. Step 4: Simplify right side
    23,153.82x = 290,441,981.16
  5. Step 5: Solve for x
    x = 290,441,981.16/23,153.82
  6. Step 6: Final answer
    x = 12,544.02

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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.