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Finding the Fourth Proportional to 23,639.08, 35,447.06 and 7,838.80

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Solution

The fourth proportional to 23,639.08, 35,447.06 and 7,838.80 is: 11,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,639.08 : 35,447.06 = 7,838.80 : x
  2. Step 2: Convert to fraction form
    23,639.08/35,447.06 = 7,838.80/x
  3. Step 3: Cross multiply
    23,639.08x = 35,447.06 × 7,838.80
  4. Step 4: Simplify right side
    23,639.08x = 277,862,389.49
  5. Step 5: Solve for x
    x = 277,862,389.49/23,639.08
  6. Step 6: Final answer
    x = 11,754.37

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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.