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Finding the Fourth Proportional to 23,428.80, 35,137.91 and 6,785.10

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Solution

The fourth proportional to 23,428.80, 35,137.91 and 6,785.10 is: 10,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,428.80 : 35,137.91 = 6,785.10 : x
  2. Step 2: Convert to fraction form
    23,428.80/35,137.91 = 6,785.10/x
  3. Step 3: Cross multiply
    23,428.80x = 35,137.91 × 6,785.10
  4. Step 4: Simplify right side
    23,428.80x = 238,414,250.10
  5. Step 5: Solve for x
    x = 238,414,250.10/23,428.80
  6. Step 6: Final answer
    x = 10,176.12

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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.