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Finding the Fourth Proportional to 23,878.77, 35,825.32 and 9,639.92

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Solution

The fourth proportional to 23,878.77, 35,825.32 and 9,639.92 is: 14,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.77 : 35,825.32 = 9,639.92 : x
  2. Step 2: Convert to fraction form
    23,878.77/35,825.32 = 9,639.92/x
  3. Step 3: Cross multiply
    23,878.77x = 35,825.32 × 9,639.92
  4. Step 4: Simplify right side
    23,878.77x = 345,353,218.77
  5. Step 5: Solve for x
    x = 345,353,218.77/23,878.77
  6. Step 6: Final answer
    x = 14,462.77

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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.