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Finding the Fourth Proportional to 23,864.50, 35,767.36 and 9,815.75

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Solution

The fourth proportional to 23,864.50, 35,767.36 and 9,815.75 is: 14,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.50 : 35,767.36 = 9,815.75 : x
  2. Step 2: Convert to fraction form
    23,864.50/35,767.36 = 9,815.75/x
  3. Step 3: Cross multiply
    23,864.50x = 35,767.36 × 9,815.75
  4. Step 4: Simplify right side
    23,864.50x = 351,083,577.46
  5. Step 5: Solve for x
    x = 351,083,577.46/23,864.50
  6. Step 6: Final answer
    x = 14,711.54

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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.