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Finding the Fourth Proportional to 23,578.70, 35,369.16 and 7,785.12

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Solution

The fourth proportional to 23,578.70, 35,369.16 and 7,785.12 is: 11,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.70 : 35,369.16 = 7,785.12 : x
  2. Step 2: Convert to fraction form
    23,578.70/35,369.16 = 7,785.12/x
  3. Step 3: Cross multiply
    23,578.70x = 35,369.16 × 7,785.12
  4. Step 4: Simplify right side
    23,578.70x = 275,353,154.90
  5. Step 5: Solve for x
    x = 275,353,154.90/23,578.70
  6. Step 6: Final answer
    x = 11,678.05

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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.