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Finding the Fourth Proportional to 23,857.88, 35,780.00 and 9,626.45

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Solution

The fourth proportional to 23,857.88, 35,780.00 and 9,626.45 is: 14,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.88 : 35,780.00 = 9,626.45 : x
  2. Step 2: Convert to fraction form
    23,857.88/35,780.00 = 9,626.45/x
  3. Step 3: Cross multiply
    23,857.88x = 35,780.00 × 9,626.45
  4. Step 4: Simplify right side
    23,857.88x = 344,434,153.97
  5. Step 5: Solve for x
    x = 344,434,153.97/23,857.88
  6. Step 6: Final answer
    x = 14,436.92

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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.