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Finding the Fourth Proportional to 23,425.12, 35,138.16 and 6,786.40

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Solution

The fourth proportional to 23,425.12, 35,138.16 and 6,786.40 is: 10,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,425.12 : 35,138.16 = 6,786.40 : x
  2. Step 2: Convert to fraction form
    23,425.12/35,138.16 = 6,786.40/x
  3. Step 3: Cross multiply
    23,425.12x = 35,138.16 × 6,786.40
  4. Step 4: Simplify right side
    23,425.12x = 238,461,609.02
  5. Step 5: Solve for x
    x = 238,461,609.02/23,425.12
  6. Step 6: Final answer
    x = 10,179.74

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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.